Information on Result #716396
Linear OA(8142, 556, F8, 48) (dual of [556, 414, 49]-code), using construction XX applied to C1 = C([503,36]), C2 = C([0,40]), C3 = C1 + C2 = C([0,36]), and C∩ = C1 ∩ C2 = C([503,40]) based on
- linear OA(8118, 511, F8, 45) (dual of [511, 393, 46]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,36}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(8106, 511, F8, 41) (dual of [511, 405, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(8127, 511, F8, 49) (dual of [511, 384, 50]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−8,−7,…,40}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(897, 511, F8, 37) (dual of [511, 414, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(811, 32, F8, 6) (dual of [32, 21, 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(84, 13, F8, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,8)), 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.