Self-dual codes over chain rings
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Publication:782702
DOI10.1007/s11786-019-00429-0zbMath1456.94132OpenAlexW2994780423MaRDI QIDQ782702
Simon Eisenbarth, Gabriele Nebe
Publication date: 28 July 2020
Published in: Mathematics in Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11786-019-00429-0
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)
Related Items (1)
Cites Work
- An extremal \([72,36,16\) binary code has no automorphism group containing \(Z_2 \times Z_4\), \(Q_8\), or \(Z_{10}\)]
- On dual extremal maximal self-orthogonal codes of type I--IV
- On extremal self-dual ternary codes of length 48
- On primes dividing the group order of a doubly-even \((72,36,16)\) code and the group order of a quaternary \((24,12,10)\) code
- Bounds for self-dual codes over \(\mathbb{Z}_4\)
- On involutions in extremal self-dual codes and the dual distance of semi self-dual codes
- Symmetry codes over GF(3) and new five-designs
- Automorphisms of Order $2p$ in Binary Self-Dual Extremal Codes of Length a Multiple of 24
- There is No Self-Dual $ \BBZ _{4}$-Linear Code Whose Gray Image Has the Parameters $(72,2^{36},16)$
- Automorphisms of codes with applications to extremal doubly even codes of length 48
- On extremal self-dual ternary codes of lengths 28 to 40
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
- Fundamentals of Error-Correcting Codes
- A method for constructing self-dual codes with an automorphism of order 2
- Is there a (72,36) d = 16 self-dual code? (Corresp.)
- On the automorphisms of order 2 with fixed points for the extremal self-dual codes of length 24\(m\)
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