Information on Result #714922
Linear OA(819, 525, F8, 6) (dual of [525, 506, 7]-code), using construction XX applied to C1 = C([2,5]), C2 = C([0,2]), C3 = C1 + C2 = C([2,2]), and C∩ = C1 ∩ C2 = C([0,5]) based on
- linear OA(812, 511, F8, 4) (dual of [511, 499, 5]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {2,3,4,5}, and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(87, 511, F8, 3) (dual of [511, 504, 4]-code or 511-cap in PG(6,8)), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(816, 511, F8, 6) (dual of [511, 495, 7]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(83, 511, F8, 1) (dual of [511, 508, 2]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {2}, and designed minimum distance d ≥ |I|+1 = 2 [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
- 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.