Information on Result #728825
Linear OA(32105, 1084, F32, 44) (dual of [1084, 979, 45]-code), using construction XX applied to C1 = C([1022,32]), C2 = C([12,42]), C3 = C1 + C2 = C([12,32]), and C∩ = C1 ∩ C2 = C([1022,42]) based on
- linear OA(3265, 1023, F32, 34) (dual of [1023, 958, 35]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,32}, and designed minimum distance d ≥ |I|+1 = 35 [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 = {12,13,…,42}, 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 = {−1,0,…,42}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3242, 1023, F32, 21) (dual of [1023, 981, 22]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {12,13,…,32}, and designed minimum distance d ≥ |I|+1 = 22 [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(329, 28, F32, 9) (dual of [28, 19, 10]-code or 28-arc in PG(8,32)), using
- discarding factors / shortening the dual code based on linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), using
- Reed–Solomon code RS(23,32) [i]
- discarding factors / shortening the dual code based on linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), 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.