Information on Result #1313313
Linear OA(9101, 759, F9, 38) (dual of [759, 658, 39]-code), using 26 step Varšamov–Edel lengthening with (ri) = (1, 25 times 0) based on linear OA(9100, 732, F9, 38) (dual of [732, 632, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(36) [i] based on
- linear OA(9100, 729, F9, 38) (dual of [729, 629, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(997, 729, F9, 37) (dual of [729, 632, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(9101, 759, F9, 2, 38) (dual of [(759, 2), 1417, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9101, 759, F9, 3, 38) (dual of [(759, 3), 2176, 39]-NRT-code) | [i] | ||
| 3 | Digital (63, 101, 759)-net over F9 | [i] | ||
| 4 | Linear OOA(9101, 379, F9, 2, 38) (dual of [(379, 2), 657, 39]-NRT-code) | [i] | OOA Folding | |