Information on Result #715586
Linear OA(878, 529, F8, 28) (dual of [529, 451, 29]-code), using construction XX applied to C1 = C([508,21]), C2 = C([1,24]), C3 = C1 + C2 = C([1,21]), and C∩ = C1 ∩ C2 = C([508,24]) based on
- linear OA(867, 511, F8, 25) (dual of [511, 444, 26]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−3,−2,…,21}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(863, 511, F8, 24) (dual of [511, 448, 25]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(873, 511, F8, 28) (dual of [511, 438, 29]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−3,−2,…,24}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(857, 511, F8, 21) (dual of [511, 454, 22]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(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]
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.