Information on Result #729096
Linear OA(32109, 1075, F32, 48) (dual of [1075, 966, 49]-code), using construction XX applied to C1 = C([1016,33]), C2 = C([5,40]), C3 = C1 + C2 = C([5,33]), and C∩ = C1 ∩ C2 = C([1016,40]) based on
- linear OA(3278, 1023, F32, 41) (dual of [1023, 945, 42]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−7,−6,…,33}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(3271, 1023, F32, 36) (dual of [1023, 952, 37]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {5,6,…,40}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3292, 1023, F32, 48) (dual of [1023, 931, 49]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−7,−6,…,40}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(3257, 1023, F32, 29) (dual of [1023, 966, 30]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {5,6,…,33}, and designed minimum distance d ≥ |I|+1 = 30 [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(326, 20, F32, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,32)), using
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), using
- Reed–Solomon code RS(26,32) [i]
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), 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.