Information on Result #1303839
Linear OA(16129, 137, F16, 108) (dual of [137, 8, 109]-code), using construction X with Varšamov bound based on
- linear OA(16127, 134, F16, 108) (dual of [134, 7, 109]-code), using
- juxtaposition [i] based on
- linear OA(1659, 66, F16, 53) (dual of [66, 7, 54]-code), using
- construction X applied to AG(F,10P) ⊂ AG(F,12P) [i] based on
- linear OA(1658, 64, F16, 53) (dual of [64, 6, 54]-code), using algebraic-geometric code AG(F,10P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using the Hermitian function field over F16 [i]
- linear OA(1657, 64, F16, 51) (dual of [64, 7, 52]-code), using algebraic-geometric code AG(F,12P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(161, 2, F16, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,10P) ⊂ AG(F,12P) [i] based on
- linear OA(1661, 68, F16, 54) (dual of [68, 7, 55]-code), using
- construction X applied to AG(F,9P) ⊂ AG(F,12P) [i] based on
- linear OA(1659, 64, F16, 54) (dual of [64, 5, 55]-code), using algebraic-geometric code AG(F,9P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1657, 64, F16, 51) (dual of [64, 7, 52]-code) (see above)
- linear OA(162, 4, F16, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,16)), using
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- Reed–Solomon code RS(14,16) [i]
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- construction X applied to AG(F,9P) ⊂ AG(F,12P) [i] based on
- linear OA(1659, 66, F16, 53) (dual of [66, 7, 54]-code), using
- juxtaposition [i] based on
- linear OA(16127, 135, F16, 106) (dual of [135, 8, 107]-code), using Gilbert–Varšamov bound and bm = 16127 > Vbs−1(k−1) = 836 294324 942792 223399 142865 513275 253449 683087 615696 358181 828117 515845 628711 010088 625800 314063 027414 116337 871396 230239 358198 333511 579718 247141 402724 006736 [i]
- linear OA(161, 2, F16, 1) (dual of [2, 1, 2]-code) (see above)
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.
Other Results with Identical Parameters
None.
Depending Results
None.