Information on Result #716323
Linear OA(8120, 529, F8, 44) (dual of [529, 409, 45]-code), using construction XX applied to C1 = C([508,37]), C2 = C([1,40]), C3 = C1 + C2 = C([1,37]), and C∩ = C1 ∩ C2 = C([508,40]) based on
- linear OA(8109, 511, F8, 41) (dual of [511, 402, 42]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−3,−2,…,37}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(8105, 511, F8, 40) (dual of [511, 406, 41]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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 = {−3,−2,…,40}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(899, 511, F8, 37) (dual of [511, 412, 38]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [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.