Information on Result #728985
Linear OA(32104, 1071, F32, 46) (dual of [1071, 967, 47]-code), using construction XX applied to C1 = C([1016,32]), C2 = C([5,38]), C3 = C1 + C2 = C([5,32]), and C∩ = C1 ∩ C2 = C([1016,38]) 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(3267, 1023, F32, 34) (dual of [1023, 956, 35]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {5,6,…,38}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3288, 1023, F32, 46) (dual of [1023, 935, 47]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−7,−6,…,38}, and designed minimum distance d ≥ |I|+1 = 47 [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(325, 16, F32, 5) (dual of [16, 11, 6]-code or 16-arc in PG(4,32)), using
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
- Reed–Solomon code RS(27,32) [i]
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), 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.