Information on Result #728027
Linear OA(3268, 1059, F32, 29) (dual of [1059, 991, 30]-code), using construction XX applied to C1 = C([2,28]), C2 = C([0,17]), C3 = C1 + C2 = C([2,17]), and C∩ = C1 ∩ C2 = C([0,28]) based on
- linear OA(3254, 1023, F32, 27) (dual of [1023, 969, 28]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {2,3,…,28}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3235, 1023, F32, 18) (dual of [1023, 988, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3257, 1023, F32, 29) (dual of [1023, 966, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(3232, 1023, F32, 16) (dual of [1023, 991, 17]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {2,3,…,17}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- 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]
- linear OA(321, 4, F32, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, 32, F32, 1) (dual of [32, 31, 2]-code), using
- Reed–Solomon code RS(31,32) [i]
- discarding factors / shortening the dual code based on linear OA(321, 32, F32, 1) (dual of [32, 31, 2]-code), 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.