Information on Result #702567
Linear OA(2246, 564, F2, 54) (dual of [564, 318, 55]-code), using construction XX applied to C1 = C([459,510]), C2 = C([467,2]), C3 = C1 + C2 = C([467,510]), and C∩ = C1 ∩ C2 = C([459,2]) based on
- linear OA(2216, 511, F2, 52) (dual of [511, 295, 53]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−52,−51,…,−1}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(2199, 511, F2, 47) (dual of [511, 312, 48]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−44,−43,…,2}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(2226, 511, F2, 55) (dual of [511, 285, 56]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−52,−51,…,2}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(2189, 511, F2, 44) (dual of [511, 322, 45]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−44,−43,…,−1}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(216, 39, F2, 6) (dual of [39, 23, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(216, 42, F2, 6) (dual of [42, 26, 7]-code), using
- extracting embedded orthogonal array [i] based on digital (10, 16, 42)-net over F2, using
- discarding factors / shortening the dual code based on linear OA(216, 42, F2, 6) (dual of [42, 26, 7]-code), using
- linear OA(24, 14, F2, 2) (dual of [14, 10, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(24, 15, F2, 2) (dual of [15, 11, 3]-code), using
- Hamming code H(4,2) [i]
- discarding factors / shortening the dual code based on linear OA(24, 15, F2, 2) (dual of [15, 11, 3]-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.