Information on Result #702449
Linear OA(2221, 574, F2, 46) (dual of [574, 353, 47]-code), using construction XX applied to C1 = C([473,4]), C2 = C([481,8]), C3 = C1 + C2 = C([481,4]), and C∩ = C1 ∩ C2 = C([473,8]) based on
- linear OA(2181, 511, F2, 43) (dual of [511, 330, 44]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−38,−37,…,4}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(2172, 511, F2, 39) (dual of [511, 339, 40]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−30,−29,…,8}, and designed minimum distance d ≥ |I|+1 = 40 [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 = {−38,−37,…,8}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(2154, 511, F2, 35) (dual of [511, 357, 36]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−30,−29,…,4}, and designed minimum distance d ≥ |I|+1 = 36 [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(26, 24, F2, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), 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.