Information on Result #728545
Linear OA(32100, 1085, F32, 41) (dual of [1085, 985, 42]-code), using construction XX applied to C1 = C([11,40]), C2 = C([0,27]), C3 = C1 + C2 = C([11,27]), and C∩ = C1 ∩ C2 = C([0,40]) based on
- 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 = {11,12,…,40}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3255, 1023, F32, 28) (dual of [1023, 968, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3278, 1023, F32, 41) (dual of [1023, 945, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(3234, 1023, F32, 17) (dual of [1023, 989, 18]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {11,12,…,27}, and designed minimum distance d ≥ |I|+1 = 18 [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(3210, 29, F32, 10) (dual of [29, 19, 11]-code or 29-arc in PG(9,32)), using
- discarding factors / shortening the dual code based on linear OA(3210, 32, F32, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,32)), using
- Reed–Solomon code RS(22,32) [i]
- discarding factors / shortening the dual code based on linear OA(3210, 32, F32, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,32)), 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.