Information on Result #716793
Linear OA(8168, 558, F8, 58) (dual of [558, 390, 59]-code), using construction XX applied to C1 = C([503,45]), C2 = C([0,49]), C3 = C1 + C2 = C([0,45]), and C∩ = C1 ∩ C2 = C([503,49]) based on
- linear OA(8142, 511, F8, 54) (dual of [511, 369, 55]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,45}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(8130, 511, F8, 50) (dual of [511, 381, 51]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,49], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(8151, 511, F8, 58) (dual of [511, 360, 59]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,49}, and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(8121, 511, F8, 46) (dual of [511, 390, 47]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,45], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(813, 34, F8, 7) (dual of [34, 21, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(813, 63, F8, 7) (dual of [63, 50, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(813, 63, F8, 7) (dual of [63, 50, 8]-code), using
- linear OA(84, 13, F8, 3) (dual of [13, 9, 4]-code or 13-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.