Information on Result #2293530
OA(1696, 1049, S16, 36), using 1 times code embedding in larger space based on OA(1695, 1048, S16, 36), using
- discarding parts of the base [i] based on linear OA(3276, 1048, F32, 36) (dual of [1048, 972, 37]-code), using
- construction XX applied to C1 = C([1022,33]), C2 = C([8,34]), C3 = C1 + C2 = C([8,33]), and C∩ = C1 ∩ C2 = C([1022,34]) [i] based on
- linear OA(3266, 1023, F32, 35) (dual of [1023, 957, 36]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,33}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(3253, 1023, F32, 27) (dual of [1023, 970, 28]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {8,9,…,34}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3268, 1023, F32, 36) (dual of [1023, 955, 37]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,34}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3251, 1023, F32, 26) (dual of [1023, 972, 27]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {8,9,…,33}, and designed minimum distance d ≥ |I|+1 = 27 [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
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction XX applied to C1 = C([1022,33]), C2 = C([8,34]), C3 = C1 + C2 = C([8,33]), and C∩ = C1 ∩ C2 = C([1022,34]) [i] based on
Mode: Constructive.
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.