Extendability of ternary linear codes
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Publication:1780998
DOI10.1007/s10623-005-6400-7zbMath1126.94019OpenAlexW2032291757MaRDI QIDQ1780998
Publication date: 15 June 2005
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-005-6400-7
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Linear codes and caps in Galois spaces (51E22) Blocking sets, ovals, (k)-arcs (51E21)
Related Items (17)
On the 3-extendability of quaternary linear codes ⋮ Nonexistence of some ternary linear codes with minimum weight \(-2\) modulo 9 ⋮ Extension theorems for linear codes over finite fields ⋮ On the minimum length of ternary linear codes ⋮ A generalized extension theorem for linear codes ⋮ New sufficient conditions for the extendability of quaternary linear codes ⋮ On the \(l\)-extendability of quaternary linear codes ⋮ Nonexistence of some ternary linear codes ⋮ Some improvements to the extendability of ternary linear codes ⋮ Constructing linear codes from some orbits of projectivities ⋮ A new extension theorem for ternary linear codes and its application ⋮ The nonexistence of some ternary linear codes of dimension 6 ⋮ Extendability of quaternary linear codes ⋮ \((l,s)\)-extension of linear codes ⋮ A new extension theorem for 3-weight modulo \(q\) linear codes over \({\mathbb{F}_q}\) ⋮ Extendability of 3-weight (mod \(q\)) linear codes over \(\mathbb F_q\) ⋮ A new extension theorem for linear codes
Cites Work
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- Classification of some optimal ternary linear codes of small length
- Extendability of linear codes over \(\operatorname {GF}(q)\) with minimum distance \(d\), \(\operatorname {gcd}(d,q)=1\)
- An extension theorem for linear codes
- New quasi-twisted degenerate ternary linear codes
- Adding a parity-check bit
- On the extendability of linear codes
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