Information on Result #715750
Linear OA(8105, 559, F8, 34) (dual of [559, 454, 35]-code), using construction XX applied to C1 = C([54,81]), C2 = C([48,74]), C3 = C1 + C2 = C([54,74]), and C∩ = C1 ∩ C2 = C([48,81]) based on
- linear OA(873, 511, F8, 28) (dual of [511, 438, 29]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {54,55,…,81}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(870, 511, F8, 27) (dual of [511, 441, 28]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {48,49,…,74}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(888, 511, F8, 34) (dual of [511, 423, 35]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {48,49,…,81}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(855, 511, F8, 21) (dual of [511, 456, 22]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {54,55,…,74}, and designed minimum distance d ≥ |I|+1 = 22 [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(87, 22, F8, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-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.