Information on Result #727785
Linear OA(3258, 1059, F32, 24) (dual of [1059, 1001, 25]-code), using construction XX applied to C1 = C([2,23]), C2 = C([0,12]), C3 = C1 + C2 = C([2,12]), and C∩ = C1 ∩ C2 = C([0,23]) based on
- linear OA(3244, 1023, F32, 22) (dual of [1023, 979, 23]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {2,3,…,23}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3225, 1023, F32, 13) (dual of [1023, 998, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(3247, 1023, F32, 24) (dual of [1023, 976, 25]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,23], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3222, 1023, F32, 11) (dual of [1023, 1001, 12]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {2,3,…,12}, and designed minimum distance d ≥ |I|+1 = 12 [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.