Information on Result #1298198
Linear OA(390, 115, F3, 41) (dual of [115, 25, 42]-code), using construction X with Varšamov bound based on
- linear OA(388, 112, F3, 41) (dual of [112, 24, 42]-code), using
- concatenation of two codes [i] based on
- linear OA(916, 28, F9, 13) (dual of [28, 12, 14]-code), using
- extended algebraic-geometric code AGe(F,14P) [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,14P) [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(916, 28, F9, 13) (dual of [28, 12, 14]-code), using
- concatenation of two codes [i] based on
- linear OA(388, 113, F3, 39) (dual of [113, 25, 40]-code), using Gilbert–Varšamov bound and bm = 388 > Vbs−1(k−1) = 418339 113916 099511 499752 633669 776241 701569 [i]
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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
None.