Information on Result #728899
Linear OA(32109, 1081, F32, 46) (dual of [1081, 972, 47]-code), using construction XX applied to C1 = C([1019,32]), C2 = C([10,41]), C3 = C1 + C2 = C([10,32]), and C∩ = C1 ∩ C2 = C([1019,41]) based on
- linear OA(3271, 1023, F32, 37) (dual of [1023, 952, 38]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−4,−3,…,32}, and designed minimum distance d ≥ |I|+1 = 38 [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 = {10,11,…,41}, and designed minimum distance d ≥ |I|+1 = 33 [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 = {−4,−3,…,41}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(3246, 1023, F32, 23) (dual of [1023, 977, 24]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {10,11,…,32}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(3213, 33, F32, 13) (dual of [33, 20, 14]-code or 33-arc in PG(12,32)), using
- extended Reed–Solomon code RSe(20,32) [i]
- the expurgated narrow-sense BCH-code C(I) with length 33 | 322−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(328, 25, F32, 8) (dual of [25, 17, 9]-code or 25-arc in PG(7,32)), using
- discarding factors / shortening the dual code based on linear OA(328, 32, F32, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), using
- Reed–Solomon code RS(24,32) [i]
- discarding factors / shortening the dual code based on linear OA(328, 32, F32, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), 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.