Information on Result #702356
Linear OA(2192, 564, F2, 40) (dual of [564, 372, 41]-code), using construction XX applied to C1 = C([473,510]), C2 = C([481,2]), C3 = C1 + C2 = C([481,510]), and C∩ = C1 ∩ C2 = C([473,2]) based on
- linear OA(2162, 511, F2, 38) (dual of [511, 349, 39]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−38,−37,…,−1}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2145, 511, F2, 33) (dual of [511, 366, 34]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−30,−29,…,2}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2172, 511, F2, 41) (dual of [511, 339, 42]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−38,−37,…,2}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(2135, 511, F2, 30) (dual of [511, 376, 31]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−30,−29,…,−1}, and designed minimum distance d ≥ |I|+1 = 31 [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.