Information on Result #728170
Linear OA(3280, 1071, F32, 33) (dual of [1071, 991, 34]-code), using construction XX applied to C1 = C([7,33]), C2 = C([1,20]), C3 = C1 + C2 = C([7,20]), and C∩ = C1 ∩ C2 = C([1,33]) based on
- linear OA(3253, 1023, F32, 27) (dual of [1023, 970, 28]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {7,8,…,33}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3240, 1023, F32, 20) (dual of [1023, 983, 21]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(3263, 1023, F32, 33) (dual of [1023, 960, 34]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3228, 1023, F32, 14) (dual of [1023, 995, 15]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {7,8,…,20}, and designed minimum distance d ≥ |I|+1 = 15 [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(325, 15, F32, 5) (dual of [15, 10, 6]-code or 15-arc in PG(4,32)), using
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
- Reed–Solomon code RS(27,32) [i]
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), 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.