Information on Result #901959
Linear OOA(3259, 524367, F32, 2, 13) (dual of [(524367, 2), 1048675, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3210, 77, F32, 2, 6) (dual of [(77, 2), 144, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(323, 33, F32, 2, 3) (dual of [(33, 2), 63, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;63,32) [i]
- linear OOA(327, 44, F32, 2, 6) (dual of [(44, 2), 81, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,81P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(323, 33, F32, 2, 3) (dual of [(33, 2), 63, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3249, 524290, F32, 2, 13) (dual of [(524290, 2), 1048531, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3249, 1048580, F32, 13) (dual of [1048580, 1048531, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(3249, 1048576, F32, 13) (dual of [1048576, 1048527, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(3245, 1048576, F32, 12) (dual of [1048576, 1048531, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(320, 4, F32, 0) (dual of [4, 4, 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(12) ⊂ Ce(11) [i] based on
- OOA 2-folding [i] based on linear OA(3249, 1048580, F32, 13) (dual of [1048580, 1048531, 14]-code), 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3259, 174788, F32, 14, 13) (dual of [(174788, 14), 2446973, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |