Information on Result #727962
Linear OA(3266, 1059, F32, 28) (dual of [1059, 993, 29]-code), using construction XX applied to C1 = C([2,27]), C2 = C([0,16]), C3 = C1 + C2 = C([2,16]), and C∩ = C1 ∩ C2 = C([0,27]) based on
- linear OA(3252, 1023, F32, 26) (dual of [1023, 971, 27]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {2,3,…,27}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(3233, 1023, F32, 17) (dual of [1023, 990, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(3255, 1023, F32, 28) (dual of [1023, 968, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3230, 1023, F32, 15) (dual of [1023, 993, 16]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {2,3,…,16}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(3210, 32, F32, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,32)), using
- Reed–Solomon code RS(22,32) [i]
- linear OA(321, 4, F32, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, 32, F32, 1) (dual of [32, 31, 2]-code), using
- Reed–Solomon code RS(31,32) [i]
- discarding factors / shortening the dual code based on linear OA(321, 32, F32, 1) (dual of [32, 31, 2]-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.