Information on Result #729094
Linear OA(32110, 1077, F32, 48) (dual of [1077, 967, 49]-code), using construction XX applied to C1 = C([1016,32]), C2 = C([5,40]), C3 = C1 + C2 = C([5,32]), and C∩ = C1 ∩ C2 = C([1016,40]) 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(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(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(327, 22, F32, 7) (dual of [22, 15, 8]-code or 22-arc in PG(6,32)), using
- discarding factors / shortening the dual code based on linear OA(327, 32, F32, 7) (dual of [32, 25, 8]-code or 32-arc in PG(6,32)), using
- Reed–Solomon code RS(25,32) [i]
- discarding factors / shortening the dual code based on linear OA(327, 32, F32, 7) (dual of [32, 25, 8]-code or 32-arc in PG(6,32)), 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.