Information on Result #715907
Linear OA(895, 526, F8, 35) (dual of [526, 431, 36]-code), using construction XX applied to C1 = C([40,72]), C2 = C([44,74]), C3 = C1 + C2 = C([44,72]), and C∩ = C1 ∩ C2 = C([40,74]) based on
- linear OA(887, 511, F8, 33) (dual of [511, 424, 34]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {40,41,…,72}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(882, 511, F8, 31) (dual of [511, 429, 32]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {44,45,…,74}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(891, 511, F8, 35) (dual of [511, 420, 36]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {40,41,…,74}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(878, 511, F8, 29) (dual of [511, 433, 30]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {44,45,…,72}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), using
- linear OA(81, 5, F8, 1) (dual of [5, 4, 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.