Information on Result #1313120
Linear OA(958, 836, F9, 20) (dual of [836, 778, 21]-code), using 98 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 0, 1, 9 times 0, 1, 26 times 0, 1, 56 times 0) based on linear OA(952, 732, F9, 20) (dual of [732, 680, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(952, 729, F9, 20) (dual of [729, 677, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(949, 729, F9, 19) (dual of [729, 680, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(958, 836, F9, 2, 20) (dual of [(836, 2), 1614, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(958, 836, F9, 3, 20) (dual of [(836, 3), 2450, 21]-NRT-code) | [i] | ||
| 3 | Digital (38, 58, 836)-net over F9 | [i] | ||
| 4 | Linear OOA(958, 418, F9, 2, 20) (dual of [(418, 2), 778, 21]-NRT-code) | [i] | OOA Folding | |