Information on Result #683447
Linear OA(566, 630, F5, 21) (dual of [630, 564, 22]-code), using construction X applied to Ce(20) ⊂ Ce(18) based on
- linear OA(565, 625, F5, 21) (dual of [625, 560, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(561, 625, F5, 19) (dual of [625, 564, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(566, 476, F5, 2, 21) (dual of [(476, 2), 886, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(566, 476, F5, 3, 21) (dual of [(476, 3), 1362, 22]-NRT-code) | [i] | ||
| 3 | Digital (45, 66, 476)-net over F5 | [i] | ||
| 4 | Linear OA(570, 651, F5, 21) (dual of [651, 581, 22]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(571, 672, F5, 21) (dual of [672, 601, 22]-code) | [i] | ||
| 6 | Linear OA(572, 706, F5, 21) (dual of [706, 634, 22]-code) | [i] | ||
| 7 | Linear OA(573, 754, F5, 21) (dual of [754, 681, 22]-code) | [i] | ||
| 8 | Linear OOA(566, 315, F5, 2, 21) (dual of [(315, 2), 564, 22]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(566, 210, F5, 3, 21) (dual of [(210, 3), 564, 22]-NRT-code) | [i] | ||