Information on Result #728865
Linear OA(3298, 1065, F32, 44) (dual of [1065, 967, 45]-code), using construction XX applied to C1 = C([1016,32]), C2 = C([5,36]), C3 = C1 + C2 = C([5,32]), and C∩ = C1 ∩ C2 = C([1016,36]) based on
- linear OA(3277, 1023, F32, 40) (dual of [1023, 946, 41]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−7,−6,…,32}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3263, 1023, F32, 32) (dual of [1023, 960, 33]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {5,6,…,36}, and designed minimum distance d ≥ |I|+1 = 33 [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 = {−7,−6,…,36}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(3256, 1023, F32, 28) (dual of [1023, 967, 29]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {5,6,…,32}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3211, 32, F32, 11) (dual of [32, 21, 12]-code or 32-arc in PG(10,32)), using
- Reed–Solomon code RS(21,32) [i]
- linear OA(323, 10, F32, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,32) or 10-cap in PG(2,32)), using
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), using
- Reed–Solomon code RS(29,32) [i]
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), 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.