Information on Result #690126
Linear OA(9100, 732, F9, 38) (dual of [732, 632, 39]-code), using construction X applied to Ce(37) ⊂ Ce(36) 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: 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(9100, 732, F9, 2, 38) (dual of [(732, 2), 1364, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9100, 732, F9, 3, 38) (dual of [(732, 3), 2096, 39]-NRT-code) | [i] | ||
| 3 | Digital (62, 100, 732)-net over F9 | [i] | ||
| 4 | Linear OA(9101, 759, F9, 38) (dual of [759, 658, 39]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OOA(9100, 366, F9, 2, 38) (dual of [(366, 2), 632, 39]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(9100, 244, F9, 3, 38) (dual of [(244, 3), 632, 39]-NRT-code) | [i] | ||