Nonexistence of some ternary linear codes with minimum weight \(-2\) modulo 9
From MaRDI portal
Publication:6047432
DOI10.3934/amc.2021052OpenAlexW3213074608MaRDI QIDQ6047432
Tatsuya Maruta, Toshiharu Sawashima
Publication date: 12 September 2023
Published in: Advances in Mathematics of Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/amc.2021052
Linear codes (general theory) (94B05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Extension theorems for linear codes over finite fields
- A study of \((xv_t, xv_{t-1})\)-minihypers in \(\mathrm{PG}(t,q)\)
- On the minimum length of linear codes over the field of 9 elements
- On optimal ternary linear codes of dimension 6
- Classification of some optimal ternary linear codes of small length
- The nonexistence of some ternary linear codes of dimension 6
- Some improvements to the extendability of ternary linear codes
- Ternary linear codes and quadrics
- Optimal ternary linear codes
- Caps and codes
- The nonexistence of some optimal ternary codes of dimension five
- On the minimum length of quaternary linear codes of dimension five
- An optimal ternary [69,5,45 code and related codes]
- Uniqueness of \([87,5,57; 3\)-codes and the nonexistence of \([258,6,171; 3]\)-codes]
- On the achievement of the Griesmer bound
- Extendability of ternary linear codes
- A characterization of some \([n,k,d;q\)-codes meeting the Griesmer bound using a minihyper in a finite projective geometry]
- The nonexistence of ternary \([105,6,68\) and \([230,6,152]\) codes]
- On the nonexistence of quaternary \([51, 4, 37\) codes]
- On the minimum length of ternary linear codes
- An extension theorem for linear codes
- Nonexistence of some ternary linear codes
- A new extension theorem for ternary linear codes and its application
- The nonexistence of ternary [284, 6, 188 codes]
- On optimal non-projective ternary linear codes
- Fundamentals of Error-Correcting Codes
- Some new results for optimal ternary linear codes
- On the nonexistence of \(q\)-ary linear codes of dimension five
This page was built for publication: Nonexistence of some ternary linear codes with minimum weight \(-2\) modulo 9