Information on Result #716715
Linear OA(8165, 561, F8, 56) (dual of [561, 396, 57]-code), using construction XX applied to C1 = C([31,82]), C2 = C([27,74]), C3 = C1 + C2 = C([31,74]), and C∩ = C1 ∩ C2 = C([27,82]) based on
- linear OA(8136, 511, F8, 52) (dual of [511, 375, 53]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {31,32,…,82}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(8127, 511, F8, 48) (dual of [511, 384, 49]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {27,28,…,74}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(8148, 511, F8, 56) (dual of [511, 363, 57]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {27,28,…,82}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(8115, 511, F8, 44) (dual of [511, 396, 45]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {31,32,…,74}, and designed minimum distance d ≥ |I|+1 = 45 [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, 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.