Information on Result #856395
Linear OOA(1666, 524290, F16, 2, 14) (dual of [(524290, 2), 1048514, 15]-NRT-code), using OOA 2-folding based on linear OA(1666, 1048580, F16, 14) (dual of [1048580, 1048514, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(1666, 1048581, F16, 14) (dual of [1048581, 1048515, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(1666, 1048576, F16, 14) (dual of [1048576, 1048510, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(1661, 1048576, F16, 13) (dual of [1048576, 1048515, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(160, 5, F16, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [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(1673, 524307, F16, 2, 14) (dual of [(524307, 2), 1048541, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(1674, 524314, F16, 2, 14) (dual of [(524314, 2), 1048554, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(1675, 524323, F16, 2, 14) (dual of [(524323, 2), 1048571, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(1676, 524328, F16, 2, 14) (dual of [(524328, 2), 1048580, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(1677, 524335, F16, 2, 14) (dual of [(524335, 2), 1048593, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(1678, 524340, F16, 2, 14) (dual of [(524340, 2), 1048602, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(1678, 524341, F16, 2, 14) (dual of [(524341, 2), 1048604, 15]-NRT-code) | [i] | ||