Information on Result #734311
Linear OA(3260, 32870, F32, 16) (dual of [32870, 32810, 17]-code), using (u, u+v)-construction based on
- linear OA(3214, 99, F32, 8) (dual of [99, 85, 9]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(322, 33, F32, 2) (dual of [33, 31, 3]-code or 33-arc in PG(1,32)), using
- extended Reed–Solomon code RSe(31,32) [i]
- Hamming code H(2,32) [i]
- linear OA(324, 33, F32, 4) (dual of [33, 29, 5]-code or 33-arc in PG(3,32)), using
- extended Reed–Solomon code RSe(29,32) [i]
- linear OA(328, 33, F32, 8) (dual of [33, 25, 9]-code or 33-arc in PG(7,32)), using
- extended Reed–Solomon code RSe(25,32) [i]
- linear OA(322, 33, F32, 2) (dual of [33, 31, 3]-code or 33-arc in PG(1,32)), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(3246, 32771, F32, 16) (dual of [32771, 32725, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(3246, 32768, F32, 16) (dual of [32768, 32722, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(3243, 32768, F32, 15) (dual of [32768, 32725, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 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 X applied to Ce(15) ⊂ Ce(14) [i] based on
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3260, 16435, F32, 2, 16) (dual of [(16435, 2), 32810, 17]-NRT-code) | [i] | OOA Folding | |