Information on Result #702592
Linear OA(2255, 564, F2, 56) (dual of [564, 309, 57]-code), using construction XX applied to C1 = C([457,510]), C2 = C([465,2]), C3 = C1 + C2 = C([465,510]), and C∩ = C1 ∩ C2 = C([457,2]) based on
- linear OA(2225, 511, F2, 54) (dual of [511, 286, 55]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−54,−53,…,−1}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(2208, 511, F2, 49) (dual of [511, 303, 50]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−46,−45,…,2}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(2235, 511, F2, 57) (dual of [511, 276, 58]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−54,−53,…,2}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(2198, 511, F2, 46) (dual of [511, 313, 47]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−46,−45,…,−1}, and designed minimum distance d ≥ |I|+1 = 47 [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.