Information on Result #716623
Linear OA(8130, 523, F8, 49) (dual of [523, 393, 50]-code), using construction XX applied to C1 = C([35,81]), C2 = C([33,78]), C3 = C1 + C2 = C([35,78]), and C∩ = C1 ∩ C2 = C([33,81]) based on
- linear OA(8124, 511, F8, 47) (dual of [511, 387, 48]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {35,36,…,81}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(8121, 511, F8, 46) (dual of [511, 390, 47]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {33,34,…,78}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(8127, 511, F8, 49) (dual of [511, 384, 50]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {33,34,…,81}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(8118, 511, F8, 44) (dual of [511, 393, 45]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {35,36,…,78}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
- linear OA(81, 4, F8, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- Reed–Solomon code RS(7,8) [i]
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-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.