Information on Result #871157
Linear OOA(3295, 539, F32, 2, 40) (dual of [(539, 2), 983, 41]-NRT-code), using OOA 2-folding based on linear OA(3295, 1078, F32, 40) (dual of [1078, 983, 41]-code), using
- construction XX applied to C1 = C([9,39]), C2 = C([0,27]), C3 = C1 + C2 = C([9,27]), and C∩ = C1 ∩ C2 = C([0,39]) [i] based on
- linear OA(3261, 1023, F32, 31) (dual of [1023, 962, 32]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {9,10,…,39}, and designed minimum distance d ≥ |I|+1 = 32 [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(3276, 1023, F32, 40) (dual of [1023, 947, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3238, 1023, F32, 19) (dual of [1023, 985, 20]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {9,10,…,27}, and designed minimum distance d ≥ |I|+1 = 20 [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(328, 23, F32, 8) (dual of [23, 15, 9]-code or 23-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.