Information on Result #728722
Linear OA(3299, 1072, F32, 43) (dual of [1072, 973, 44]-code), using construction XX applied to C1 = C([1019,32]), C2 = C([9,38]), C3 = C1 + C2 = C([9,32]), and C∩ = C1 ∩ C2 = C([1019,38]) 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(3259, 1023, F32, 30) (dual of [1023, 964, 31]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {9,10,…,38}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3282, 1023, F32, 43) (dual of [1023, 941, 44]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−4,−3,…,38}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3248, 1023, F32, 24) (dual of [1023, 975, 25]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {9,10,…,32}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3212, 33, F32, 12) (dual of [33, 21, 13]-code or 33-arc in PG(11,32)), using
- extended Reed–Solomon code RSe(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.