Information on Result #716677
Linear OA(8142, 533, F8, 52) (dual of [533, 391, 53]-code), using construction XX applied to C1 = C([508,45]), C2 = C([1,48]), C3 = C1 + C2 = C([1,45]), and C∩ = C1 ∩ C2 = C([508,48]) based on
- linear OA(8130, 511, F8, 49) (dual of [511, 381, 50]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−3,−2,…,45}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(8126, 511, F8, 48) (dual of [511, 385, 49]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- 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 = {−3,−2,…,48}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(8120, 511, F8, 45) (dual of [511, 391, 46]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(84, 14, F8, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,8)), 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.