Information on Result #1017783
Linear OOA(6446, 87512, F64, 3, 13) (dual of [(87512, 3), 262490, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(649, 130, F64, 3, 6) (dual of [(130, 3), 381, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(643, 65, F64, 3, 3) (dual of [(65, 3), 192, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;192,64) [i]
- linear OOA(646, 65, F64, 3, 6) (dual of [(65, 3), 189, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;189,64) [i]
- linear OOA(643, 65, F64, 3, 3) (dual of [(65, 3), 192, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6437, 87382, F64, 3, 13) (dual of [(87382, 3), 262109, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6437, 262146, F64, 13) (dual of [262146, 262109, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(6437, 262147, F64, 13) (dual of [262147, 262110, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(6437, 262144, F64, 13) (dual of [262144, 262107, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(6434, 262144, F64, 12) (dual of [262144, 262110, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(6437, 262147, F64, 13) (dual of [262147, 262110, 14]-code), using
- OOA 3-folding [i] based on linear OA(6437, 262146, F64, 13) (dual of [262146, 262109, 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(6446, 43755, F64, 15, 13) (dual of [(43755, 15), 656279, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |