Construction of minimal linear codes from multi-variable functions

DOI10.3934/amc.2020055zbMath1464.94071OpenAlexW2999763813MaRDI QIDQ2025361

Boran Kim, Minwon Na, Jong Yoon Hyun

Publication date: 12 May 2021

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2020055

zbMATH Keywords

minimal linear codeAB-conditionHDZ-conditionmulti-variable function

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cryptography (94A60)

Related Items

Unnamed Item, Quantum codes from one-point codes on norm-trace curves

Cites Work

• Unnamed Item
• Unnamed Item
• A construction of binary linear codes from Boolean functions
• Linear codes from simplicial complexes
• Minimal linear codes over finite fields
• On the non-minimal codewords in binary Reed-Muller codes
• Minimal codewords in Reed-Muller codes
• Four families of minimal binary linear codes with \(w_{\min }/w_{\max }\le 1/2\)
• Two classes of two-weight linear codes
• On Minimal and Quasi-minimal Linear Codes
• Linear Codes With Two or Three Weights From Weakly Regular Bent Functions
• A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing
• How to share a secret
• Secret sharing schemes from three classes of linear codes
• Decoding linear block codes for minimizing word error rate (Corresp.)
• Minimal Binary Linear Codes
• Minimal vectors in linear codes
• Minimal Linear Codes in Odd Characteristic