Information on Result #856453
Linear OOA(1671, 524290, F16, 2, 15) (dual of [(524290, 2), 1048509, 16]-NRT-code), using OOA 2-folding based on linear OA(1671, 1048580, F16, 15) (dual of [1048580, 1048509, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(1671, 1048581, F16, 15) (dual of [1048581, 1048510, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(1671, 1048576, F16, 15) (dual of [1048576, 1048505, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- 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(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(14) ⊂ Ce(13) [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(1679, 524314, F16, 2, 15) (dual of [(524314, 2), 1048549, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(1680, 524323, F16, 2, 15) (dual of [(524323, 2), 1048566, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(1681, 524328, F16, 2, 15) (dual of [(524328, 2), 1048575, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(1682, 524335, F16, 2, 15) (dual of [(524335, 2), 1048588, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(1683, 524340, F16, 2, 15) (dual of [(524340, 2), 1048597, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(1684, 524547, F16, 2, 15) (dual of [(524547, 2), 1049010, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(1683, 524341, F16, 2, 15) (dual of [(524341, 2), 1048599, 16]-NRT-code) | [i] | ||