Type IV-II codes over Z4 constructed from generalized bent functions
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Publication:5042373
zbMath1501.94075arXiv2105.01208MaRDI QIDQ5042373
Publication date: 19 October 2022
Full work available at URL: https://arxiv.org/abs/2105.01208
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Boolean functions (94D10)
Uses Software
Cites Work
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- Codes over \(\mathbb{Z}_{2^k}\), Gray map and self-dual codes
- Double circulant codes over \(\mathbb{Z}_ 4\) and even unimodular lattices
- Four decades of research on bent functions
- \(Z_2Z_4\)-linear codes: rank and kernel
- Generalized bent functions and their properties
- Selbstduale Codes über dem Ring der ganzen Zahlen modulo 4. (Self-dual codes over the ring of integers modulo 4)
- Self-dual codes over the integers modulo 4
- On ``bent functions
- All \(\mathbb{Z}_ 4\) codes of type II and length 16 are known
- On type IV self-dual codes over \(\mathbb Z_4\)
- An optimal unimodular lattice in dimension 39
- Hyper-bent functions and cyclic codes
- Trace codes over \(\mathbb {Z}_4,\) and Boolean functions
- Cyclic codes over \(\mathbb Z_4\) of even length
- Linear Codes With Two or Three Weights From Weakly Regular Bent Functions
- Fundamentals of Error-Correcting Codes
- Type IV self-dual codes over rings
- Mass formulas for self-dual codes over Z/sub 4/ and F/sub q/+uF/sub q/ rings
- Quaternary Constant-Amplitude Codes for Multicode CDMA
- Bent Vectorial Functions, Codes and Designs
- On the classification and enumeration of self-dual codes
