Information on Result #715804
Linear OA(8104, 549, F8, 35) (dual of [549, 445, 36]-code), using construction XX applied to C1 = C([41,72]), C2 = C([48,75]), C3 = C1 + C2 = C([48,72]), and C∩ = C1 ∩ C2 = C([41,75]) based on
- linear OA(884, 511, F8, 32) (dual of [511, 427, 33]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {41,42,…,72}, and designed minimum distance d ≥ |I|+1 = 33 [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 = {48,49,…,75}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(891, 511, F8, 35) (dual of [511, 420, 36]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {41,42,…,75}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(866, 511, F8, 25) (dual of [511, 445, 26]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {48,49,…,72}, and designed minimum distance d ≥ |I|+1 = 26 [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.