Information on Result #856769
Linear OOA(1691, 524290, F16, 2, 20) (dual of [(524290, 2), 1048489, 21]-NRT-code), using OOA 2-folding based on linear OA(1691, 1048580, F16, 20) (dual of [1048580, 1048489, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(1691, 1048581, F16, 20) (dual of [1048581, 1048490, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(1691, 1048576, F16, 20) (dual of [1048576, 1048485, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(1686, 1048576, F16, 19) (dual of [1048576, 1048490, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(19) ⊂ Ce(18) [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(16102, 524314, F16, 2, 20) (dual of [(524314, 2), 1048526, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(16103, 524323, F16, 2, 20) (dual of [(524323, 2), 1048543, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(16104, 524328, F16, 2, 20) (dual of [(524328, 2), 1048552, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(16105, 524335, F16, 2, 20) (dual of [(524335, 2), 1048565, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(16106, 524339, F16, 2, 20) (dual of [(524339, 2), 1048572, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(16107, 524355, F16, 2, 20) (dual of [(524355, 2), 1048603, 21]-NRT-code) | [i] | ||