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Lower bounds for monotone span programs

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/ecjc.4430720906openalex-snapshot
Secret sharing scheme realizing general access structure
inferredcites →https://doi.org/10.1007/0-387-34799-2_3openalex-snapshot
Generalized Secret Sharing and Monotone Functions
inferredcites →https://doi.org/10.1007/0-387-34799-2_30openalex-snapshot
How to (Really) Share a Secret
inferredcites →https://doi.org/10.1007/3-540-18170-9_185openalex-snapshot
The complexity of symmetric boolean functions
inferredcites →https://doi.org/10.1007/3-540-38424-3_16openalex-snapshot
Geometric Shared Secret and/or Shared Control Schemes
inferredcites →https://doi.org/10.1007/3-540-39568-7_19openalex-snapshot
Generalized Linear Threshold Scheme
inferredcites →https://doi.org/10.1007/3-540-57220-1_53openalex-snapshot
A construction of practical secret sharing schemes using linear block codes
inferredcites →https://doi.org/10.1007/978-1-4612-2566-9_8openalex-snapshot
On Proving Lower Bounds for Circuit Size
inferredcites →https://doi.org/10.1007/bf00125203openalex-snapshot
An explication of secret sharing schemes
inferredcites →https://doi.org/10.1007/bf00196772openalex-snapshot
On the classification of ideal secret sharing schemes
inferredcites →https://doi.org/10.1007/bf00198463openalex-snapshot
On the size of shares for secret sharing schemes
inferredcites →https://doi.org/10.1007/bf01374526openalex-snapshot
Structure and importance of logspace-MOD class
inferredcites →https://doi.org/10.1007/bf01388562openalex-snapshot
Geometric secret sharing schemes and their duals
inferredcites →https://doi.org/10.1007/bf01398012openalex-snapshot
On the information rate of perfect secret sharing schemes
inferredcites →https://doi.org/10.1007/bf02579196openalex-snapshot
The monotone circuit complexity of boolean functions
inferredcites →https://doi.org/10.1007/bf02579205openalex-snapshot
A fast parallel algorithm to compute the rank of a matrix over an arbitrary field
inferredcites →https://doi.org/10.1007/bfb0053420openalex-snapshot
The size of a share must be large
inferredcites →https://doi.org/10.1007/bfb0053421openalex-snapshot
A linear construction of perfect secret sharing schemes
inferredcites →https://doi.org/10.1016/0020-0190(84)90018-8openalex-snapshot
On computing the determinant in small parallel time using a small number of processors
inferredcites →https://doi.org/10.1016/0304-3975(80)90034-1openalex-snapshot
On another Boolean matrix
inferredcites →https://doi.org/10.1016/0304-3975(95)00065-8openalex-snapshot
On the information rate of secret sharing schemes
inferredcites →https://doi.org/10.1109/18.335890openalex-snapshot
Universally ideal secret-sharing schemes
inferredcites →https://doi.org/10.1109/mark.1979.8817296openalex-snapshot
Safeguarding cryptographic keys
inferredcites →https://doi.org/10.1109/sct.1993.336535openalex-snapshot
On proving lower bounds for circuit size
inferredcites →https://doi.org/10.1109/sct.1993.336536openalex-snapshot
On span programs
inferredcites →https://doi.org/10.1109/sfcs.1995.492669openalex-snapshot
Lower bounds for monotone span programs
inferredcites →https://doi.org/10.1109/tit.1983.1056621openalex-snapshot
On secret sharing systems
inferredcites →https://doi.org/10.1145/237814.238010openalex-snapshot
Extremal bipartite graphs and superpolynomial lower bounds for monotone span programs
inferredcites →https://doi.org/10.1145/359168.359176openalex-snapshot
How to share a secret
inferredcites →https://doi.org/10.1145/73007.73023openalex-snapshot
On the method of approximations
inferredcites →https://doi.org/10.4064/cm-3-1-50-57openalex-snapshot
On a problem of K. Zarankiewicz
inferredcites →https://doi.org/10.7146/brics.v1i46.21596openalex-snapshot
Lower Bounds for Monotone Span Programs

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/sec.1507openalex-snapshot
CP‐ABE with outsourced decryption and directionally hidden policy
inferred← citeshttps://doi.org/10.1006/jcss.1999.1648openalex-snapshot
On Arithmetic Branching Programs
inferred← citeshttps://doi.org/10.1007/3-540-45450-0_7openalex-snapshot
Requirements for Group Independent Linear Threshold Secret Sharing Schemes
inferred← citeshttps://doi.org/10.1007/978-3-030-45388-6_21openalex-snapshot
Linearly-Homomorphic Signatures and Scalable Mix-Nets
inferred← citeshttps://doi.org/10.1007/978-3-030-64381-2_18openalex-snapshot
The Share Size of Secret-Sharing Schemes for Almost All Access Structures and Graphs
inferred← citeshttps://doi.org/10.1007/978-3-030-84252-9_25openalex-snapshot
Quadratic Secret Sharing and Conditional Disclosure of Secrets
inferred← citeshttps://doi.org/10.1007/978-3-319-26059-4_21openalex-snapshot
Attribute-Based Encryption Resilient to Auxiliary Input
inferred← citeshttps://doi.org/10.1007/978-3-319-44618-9_27openalex-snapshot
Secret Sharing Schemes for Dense Forbidden Graphs
inferred← citeshttps://doi.org/10.1007/978-3-319-67816-0_9openalex-snapshot
Threshold Single Password Authentication
inferred← citeshttps://doi.org/10.1007/978-3-319-70503-3_13openalex-snapshot
Linear Secret-Sharing Schemes for Forbidden Graph Access Structures
inferred← citeshttps://doi.org/10.1007/978-3-319-78381-9_22openalex-snapshot
Improving the Linear Programming Technique in the Search for Lower Bounds in Secret Sharing
inferred← citeshttps://doi.org/10.1007/978-3-540-30598-9_18openalex-snapshot
On the Size of Monotone Span Programs
inferred← citeshttps://doi.org/10.1007/978-3-540-85855-3_12openalex-snapshot
On Linear Secret Sharing for Connectivity in Directed Graphs
inferred← citeshttps://doi.org/10.1007/978-3-642-20901-7_2openalex-snapshot
Secret-Sharing Schemes: A Survey
inferred← citeshttps://doi.org/10.1007/978-3-642-32009-5_10openalex-snapshot
Secret Sharing Schemes for Very Dense Graphs
inferred← citeshttps://doi.org/10.1007/978-3-642-38033-4_6openalex-snapshot
Leakage-Resilient Attribute-Based Encryption with Fast Decryption: Models, Analysis and Constructions
inferred← citeshttps://doi.org/10.1007/978-3-642-40084-1_16openalex-snapshot
Secret Sharing, Rank Inequalities and Information Inequalities
inferred← citeshttps://doi.org/10.1007/978-3-662-53644-5_18openalex-snapshot
Threshold Secret Sharing Requires a Linear Size Alphabet
inferred← citeshttps://doi.org/10.1007/978-981-15-8061-1_15openalex-snapshot
Linear Secret Sharing Schemes with Finer Access Structure
inferred← citeshttps://doi.org/10.1007/s000370100001openalex-snapshot
A characterization of span program size and improved lower bounds for monotone span programs
inferred← citeshttps://doi.org/10.1007/s00145-014-9195-8openalex-snapshot
Secret-Sharing Schemes for Very Dense Graphs
inferred← citeshttps://doi.org/10.1007/s00145-021-09410-2openalex-snapshot
On Abelian and Homomorphic Secret Sharing Schemes
inferred← citeshttps://doi.org/10.1007/s004930050058openalex-snapshot
Superpolynomial Lower Bounds for Monotone Span Programs
inferred← citeshttps://doi.org/10.1007/s10623-004-4031-zopenalex-snapshot
An Optimal Multisecret Threshold Scheme Construction
inferred← citeshttps://doi.org/10.1016/j.tcs.2018.11.007openalex-snapshot
Optimal linear secret sharing schemes for graph access structures on six participants
inferred← citeshttps://doi.org/10.1016/s0020-0190(03)00334-xopenalex-snapshot
A note on monotone complexity and the rank of matrices
inferred← citeshttps://doi.org/10.1080/02522667.2017.1367513openalex-snapshot
On the information rates of homomorphic secret sharing schemes
inferred← citeshttps://doi.org/10.1090/dimacs/039/15openalex-snapshot
Algebraic models of computation and interpolation for algebraic proof systems
inferred← citeshttps://doi.org/10.1090/s0894-0347-01-00367-8openalex-snapshot
On the number of zero-patterns of a sequence of polynomials
inferred← citeshttps://doi.org/10.1109/ccc.1998.694592openalex-snapshot
On arithmetic branching programs
inferred← citeshttps://doi.org/10.1109/ccc.2001.933886openalex-snapshot
On the power of nonlinear secret-sharing
inferred← citeshttps://doi.org/10.1109/focs.2009.15openalex-snapshot
The Communication Complexity of Set-Disjointness with Small Sets and 0-1 Intersection
inferred← citeshttps://doi.org/10.1109/focs.2016.51openalex-snapshot
Exponential Lower Bounds for Monotone Span Programs
inferred← citeshttps://doi.org/10.1109/sfcs.2003.1238216openalex-snapshot
Separating the power of monotone span programs over different fields
inferred← citeshttps://doi.org/10.1109/tit.2015.2500232openalex-snapshot
Secret Sharing, Rank Inequalities, and Information Inequalities
inferred← citeshttps://doi.org/10.1109/tit.2020.3005706openalex-snapshot
Improving the Linear Programming Technique in the Search for Lower Bounds in Secret Sharing
inferred← citeshttps://doi.org/10.1109/tit.2021.3132917openalex-snapshot
Linear Secret-Sharing Schemes for Forbidden Graph Access Structures
inferred← citeshttps://doi.org/10.1109/tit.2023.3296588openalex-snapshot
Quadratic Secret Sharing and Conditional Disclosure of Secrets
inferred← citeshttps://doi.org/10.1137/s0097539704444038openalex-snapshot
Separating the Power of Monotone Span Programs over Different Fields
inferred← citeshttps://doi.org/10.1137/s0895480102412868openalex-snapshot
On the Power of Nonlinear Secret-Sharing
inferred← citeshttps://doi.org/10.1145/1374376.1374394openalex-snapshot
Span-program-based quantum algorithm for evaluating formulas
inferred← citeshttps://doi.org/10.1145/276698.276855openalex-snapshot
A characterization of span program size and improved lower bounds for monotone span programs
inferred← citeshttps://doi.org/10.1145/3055399.3055478openalex-snapshot
Strongly exponential lower bounds for monotone computation
inferred← citeshttps://doi.org/10.1145/3188745.3188914openalex-snapshot
Lifting Nullstellensatz to monotone span programs over any field
inferred← citeshttps://doi.org/10.1145/3717823.3718161openalex-snapshot
The Meta-complexity of Secret Sharing
inferred← citeshttps://doi.org/10.1155/2016/3257029openalex-snapshot
CP-ABE with Hidden Policy from Waters Efficient Construction
inferred← citeshttps://doi.org/10.12988/ams.2015.57478openalex-snapshot
Linear secret sharing and the automatic search of linear rank inequalities
inferred← citeshttps://doi.org/10.1561/0400000011openalex-snapshot
Complexity Lower Bounds using Linear Algebra
inferred← citeshttps://doi.org/10.32657/10356/59108openalex-snapshot
Secret sharing schemes and polymatroids
inferred← citeshttps://doi.org/10.4086/toc.2012.v008a013openalex-snapshot
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inferred← citeshttps://doi.org/10.48550/arxiv.2106.14833openalex-snapshot
Linear Secret-Sharing Schemes for $k$-uniform access structures
inferred← citeshttps://doi.org/10.56415/csjm.v33.06openalex-snapshot
Secret Sharing Limitations Over Boolean Circuits
inferred← citeshttps://doi.org/10.7146/brics.v1i47.21595openalex-snapshot
A Constraint Oriented Proof Methodology based on Modal Transition Systems
inferred← citeshttps://doi.org/10.7146/brics.v2i4.19506openalex-snapshot
Petri Nets and Bisimulations
inferred← citeshttps://doi.org/10.7146/brics.v2i6.19508openalex-snapshot
A Complete Deductive System for the mu-Calculus
inferred← citeshttps://doi.org/10.7146/brics.v2i9.19512openalex-snapshot
Partial and Higher Order Differentials and Applications to the DES
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