Information on Result #728125
Linear OA(3281, 1073, F32, 33) (dual of [1073, 992, 34]-code), using construction XX applied to C1 = C([7,32]), C2 = C([0,19]), C3 = C1 + C2 = C([7,19]), and C∩ = C1 ∩ C2 = C([0,32]) 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 = {7,8,…,32}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(3239, 1023, F32, 20) (dual of [1023, 984, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(3263, 1023, F32, 33) (dual of [1023, 960, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3226, 1023, F32, 13) (dual of [1023, 997, 14]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {7,8,…,19}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(3212, 33, F32, 12) (dual of [33, 21, 13]-code or 33-arc in PG(11,32)), using
- extended Reed–Solomon code RSe(21,32) [i]
- linear OA(326, 17, F32, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,32)), using
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), using
- Reed–Solomon code RS(26,32) [i]
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), 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.