Information on Result #1310619
Linear OA(574, 812, F5, 21) (dual of [812, 738, 22]-code), using 177 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 1, 0, 0, 0, 1, 10 times 0, 1, 19 times 0, 1, 33 times 0, 1, 46 times 0, 1, 57 times 0) based on linear OA(565, 626, F5, 21) (dual of [626, 561, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
Mode: 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(574, 812, F5, 2, 21) (dual of [(812, 2), 1550, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(574, 812, F5, 3, 21) (dual of [(812, 3), 2362, 22]-NRT-code) | [i] | ||
| 3 | Digital (53, 74, 812)-net over F5 | [i] | ||
| 4 | Linear OOA(574, 406, F5, 2, 21) (dual of [(406, 2), 738, 22]-NRT-code) | [i] | OOA Folding | |