Information on Result #715312
Linear OA(873, 548, F8, 23) (dual of [548, 475, 24]-code), using construction XX applied to C1 = C([5,22]), C2 = C([0,16]), C3 = C1 + C2 = C([5,16]), and C∩ = C1 ∩ C2 = C([0,22]) based on
- linear OA(854, 511, F8, 18) (dual of [511, 457, 19]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {5,6,…,22}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(843, 511, F8, 17) (dual of [511, 468, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(861, 511, F8, 23) (dual of [511, 450, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(836, 511, F8, 12) (dual of [511, 475, 13]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {5,6,…,16}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(87, 25, F8, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- linear OA(85, 12, F8, 4) (dual of [12, 7, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(85, 14, F8, 4) (dual of [14, 9, 5]-code), using
- extended algebraic-geometric code AGe(F,9P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OA(85, 14, F8, 4) (dual of [14, 9, 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.