Information on Result #716889
Linear OA(8167, 549, F8, 59) (dual of [549, 382, 60]-code), using construction XX applied to C1 = C([17,72]), C2 = C([24,75]), C3 = C1 + C2 = C([24,72]), and C∩ = C1 ∩ C2 = C([17,75]) based on
- linear OA(8147, 511, F8, 56) (dual of [511, 364, 57]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {17,18,…,72}, and designed minimum distance d ≥ |I|+1 = 57 [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 = {24,25,…,75}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(8154, 511, F8, 59) (dual of [511, 357, 60]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {17,18,…,75}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(8129, 511, F8, 49) (dual of [511, 382, 50]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {24,25,…,72}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(811, 29, F8, 6) (dual of [29, 18, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(811, 63, F8, 6) (dual of [63, 52, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(811, 63, F8, 6) (dual of [63, 52, 7]-code), using
- 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]
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.