Information on Result #703021
Linear OA(2248, 1067, F2, 49) (dual of [1067, 819, 50]-code), using construction XX applied to C1 = C([985,8]), C2 = C([991,10]), C3 = C1 + C2 = C([991,8]), and C∩ = C1 ∩ C2 = C([985,10]) based on
- linear OA(2226, 1023, F2, 47) (dual of [1023, 797, 48]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−38,−37,…,8}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(2211, 1023, F2, 43) (dual of [1023, 812, 44]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−32,−31,…,10}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(2236, 1023, F2, 49) (dual of [1023, 787, 50]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−38,−37,…,10}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(2201, 1023, F2, 41) (dual of [1023, 822, 42]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−32,−31,…,8}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(211, 33, F2, 5) (dual of [33, 22, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 33 | 210−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(21, 11, F2, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.