Information on Result #728830
Linear OA(32106, 1087, F32, 44) (dual of [1087, 981, 45]-code), using construction XX applied to C1 = C([0,32]), C2 = C([13,43]), C3 = C1 + C2 = C([13,32]), and C∩ = C1 ∩ C2 = C([0,43]) based on
- 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(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 = {13,14,…,43}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3284, 1023, F32, 44) (dual of [1023, 939, 45]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,43], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3240, 1023, F32, 20) (dual of [1023, 983, 21]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {13,14,…,32}, and designed minimum distance d ≥ |I|+1 = 21 [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(3210, 31, F32, 10) (dual of [31, 21, 11]-code or 31-arc in PG(9,32)), using
- discarding factors / shortening the dual code based on 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]
- discarding factors / shortening the dual code based on linear OA(3210, 32, F32, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,32)), 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.