Information on Result #902101
Linear OOA(32100, 4210690, F32, 2, 16) (dual of [(4210690, 2), 8421280, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3224, 16389, F32, 2, 8) (dual of [(16389, 2), 32754, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3224, 32778, F32, 8) (dual of [32778, 32754, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(3224, 32779, F32, 8) (dual of [32779, 32755, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [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(3213, 32768, F32, 5) (dual of [32768, 32755, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(322, 11, F32, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(3224, 32779, F32, 8) (dual of [32779, 32755, 9]-code), using
- OOA 2-folding [i] based on linear OA(3224, 32778, F32, 8) (dual of [32778, 32754, 9]-code), using
- linear OOA(3276, 4194301, F32, 2, 16) (dual of [(4194301, 2), 8388526, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3276, 8388602, F32, 16) (dual of [8388602, 8388526, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3276, large, F32, 16) (dual of [large, large−76, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(3276, large, F32, 16) (dual of [large, large−76, 17]-code), using
- OOA 2-folding [i] based on linear OA(3276, 8388602, F32, 16) (dual of [8388602, 8388526, 17]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(32100, 1052672, F32, 18, 16) (dual of [(1052672, 18), 18947996, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |