Information on Result #701917
Linear OA(2161, 300, F2, 41) (dual of [300, 139, 42]-code), using construction XX applied to C1 = C([217,254]), C2 = C([225,2]), C3 = C1 + C2 = C([225,254]), and C∩ = C1 ∩ C2 = C([217,2]) based on
- linear OA(2132, 255, F2, 38) (dual of [255, 123, 39]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−38,−37,…,−1}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2125, 255, F2, 33) (dual of [255, 130, 34]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−30,−29,…,2}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2141, 255, F2, 41) (dual of [255, 114, 42]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−38,−37,…,2}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(2116, 255, F2, 30) (dual of [255, 139, 31]-code), using the primitive BCH-code C(I) with length 255 = 28−1, defining interval I = {−30,−29,…,−1}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(216, 32, F2, 7) (dual of [32, 16, 8]-code), using
- Reed–Muller code RM(2,5) [i]
- linear OA(24, 13, F2, 2) (dual of [13, 9, 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.