On the existence of extremal Type II ℤ_{2𝕜}-codes
From MaRDI portal
Publication:5401708
DOI10.1090/S0025-5718-2013-02750-0zbMath1330.94059arXiv1205.6947OpenAlexW2962769480MaRDI QIDQ5401708
Masaaki Harada, Tsuyoshi Miezaki
Publication date: 12 March 2014
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1205.6947
Linear codes (general theory) (94B05) Holomorphic modular forms of integral weight (11F11) Relations with coding theory (11H71)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Frames in the odd Leech lattice
- An upper bound on the minimum weight of type II \(\mathbb Z_{2k}\)-codes
- A survey on spherical designs and algebraic combinatorics on spheres
- Upper bounds for modular forms, lattices, and codes
- A note on optimal unimodular lattices
- Self-dual codes over rings and the Chinese remainder theorem
- New extremal type II codes over \(\mathbb{Z}_4\)
- Ternary code construction of unimodular lattices and self-dual codes over \(\mathbb Z_6\)
- Symmetry codes over GF(3) and new five-designs
- Double circulant constructions of the Leech lattice
- Classification of ternary extremal self-dual codes of length 28
- Bounds for coefficients of cusp forms and extremal lattices
- SHELLS OF SELFDUAL LATTICES VIEWED AS SPHERICAL DESIGNS
- Type II codes over Z/sub 4/
- Type II codes, even unimodular lattices, and invariant rings
- An even unimodular 72-dimensional lattice of minimum 8
- An upper bound for self-dual codes
- On the classification and enumeration of self-dual codes
- Orthogonal frames in the Leech lattice and a type II code over \(\mathbb{Z}_{22}\)
This page was built for publication: On the existence of extremal Type II ℤ_{2𝕜}-codes