Information on Result #1298215
Linear OA(393, 116, F3, 44) (dual of [116, 23, 45]-code), using construction X with Varšamov bound based on
- linear OA(390, 112, F3, 44) (dual of [112, 22, 45]-code), using
- concatenation of two codes [i] based on
- linear OA(917, 28, F9, 14) (dual of [28, 11, 15]-code), using
- extended algebraic-geometric code AGe(F,13P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric code AGe(F,13P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [i]
- linear OA(917, 28, F9, 14) (dual of [28, 11, 15]-code), using
- concatenation of two codes [i] based on
- linear OA(390, 113, F3, 41) (dual of [113, 23, 42]-code), using Gilbert–Varšamov bound and bm = 390 > Vbs−1(k−1) = 5 954103 691057 700327 857360 059726 230406 673089 [i]
- linear OA(32, 3, F3, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,3)), using
- dual of repetition code with length 3 [i]
- Reed–Solomon code RS(1,3) [i]
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(396, 121, F3, 44) (dual of [121, 25, 45]-code) | [i] | Construction X with Varšamov Bound | |