Information on Result #728803
Linear OA(32102, 1075, F32, 44) (dual of [1075, 973, 45]-code), using construction XX applied to C1 = C([1019,32]), C2 = C([9,39]), C3 = C1 + C2 = C([9,32]), and C∩ = C1 ∩ C2 = C([1019,39]) based on
- linear OA(3271, 1023, F32, 37) (dual of [1023, 952, 38]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−4,−3,…,32}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3261, 1023, F32, 31) (dual of [1023, 962, 32]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {9,10,…,39}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3284, 1023, F32, 44) (dual of [1023, 939, 45]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−4,−3,…,39}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3248, 1023, F32, 24) (dual of [1023, 975, 25]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {9,10,…,32}, and designed minimum distance d ≥ |I|+1 = 25 [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, 19, F32, 6) (dual of [19, 13, 7]-code or 19-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.