Information on Result #902150
Linear OOA(32104, 4210688, F32, 2, 17) (dual of [(4210688, 2), 8421272, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3223, 16387, F32, 2, 8) (dual of [(16387, 2), 32751, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3223, 32774, F32, 8) (dual of [32774, 32751, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(3223, 32775, F32, 8) (dual of [32775, 32752, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- linear OA(3222, 32768, F32, 8) (dual of [32768, 32746, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(3216, 32768, F32, 6) (dual of [32768, 32752, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(3223, 32775, F32, 8) (dual of [32775, 32752, 9]-code), using
- OOA 2-folding [i] based on linear OA(3223, 32774, F32, 8) (dual of [32774, 32751, 9]-code), using
- linear OOA(3281, 4194301, F32, 2, 17) (dual of [(4194301, 2), 8388521, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3281, 8388602, F32, 17) (dual of [8388602, 8388521, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3281, large, F32, 17) (dual of [large, large−81, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 33554433 | 3210−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3281, large, F32, 17) (dual of [large, large−81, 18]-code), using
- OOA 2-folding [i] based on linear OA(3281, 8388602, F32, 17) (dual of [8388602, 8388521, 18]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.