Information on Result #715607
Linear OA(897, 556, F8, 31) (dual of [556, 459, 32]-code), using construction XX applied to C1 = C([56,81]), C2 = C([51,74]), C3 = C1 + C2 = C([56,74]), and C∩ = C1 ∩ C2 = C([51,81]) based on
- linear OA(867, 511, F8, 26) (dual of [511, 444, 27]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {56,57,…,81}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(864, 511, F8, 24) (dual of [511, 447, 25]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {51,52,…,74}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(882, 511, F8, 31) (dual of [511, 429, 32]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {51,52,…,81}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(849, 511, F8, 19) (dual of [511, 462, 20]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {56,57,…,74}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(89, 24, F8, 6) (dual of [24, 15, 7]-code), using
- extended algebraic-geometric code AGe(F,17P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric code AGe(F,17P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OA(86, 21, F8, 4) (dual of [21, 15, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
Mode: Constructive and 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.