Information on Result #715507
Linear OA(890, 553, F8, 29) (dual of [553, 463, 30]-code), using construction XX applied to C1 = C([57,81]), C2 = C([53,74]), C3 = C1 + C2 = C([57,74]), and C∩ = C1 ∩ C2 = C([53,81]) based on
- linear OA(864, 511, F8, 25) (dual of [511, 447, 26]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {57,58,…,81}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(858, 511, F8, 22) (dual of [511, 453, 23]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {53,54,…,74}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(876, 511, F8, 29) (dual of [511, 435, 30]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {53,54,…,81}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(846, 511, F8, 18) (dual of [511, 465, 19]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {57,58,…,74}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(810, 26, F8, 6) (dual of [26, 16, 7]-code), using
- construction X applied to AG(F,16P) ⊂ AG(F,18P) [i] based on
- linear OA(89, 23, F8, 6) (dual of [23, 14, 7]-code), using algebraic-geometric code AG(F,16P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- linear OA(87, 23, F8, 4) (dual of [23, 16, 5]-code), using algebraic-geometric code AG(F,18P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24 (see above)
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(89, 23, F8, 6) (dual of [23, 14, 7]-code), using algebraic-geometric code AG(F,16P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- construction X applied to AG(F,16P) ⊂ AG(F,18P) [i] based on
- linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,8)), 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.