Information on Result #690188
Linear OA(932, 736, F9, 12) (dual of [736, 704, 13]-code), using construction X applied to Ce(11) ⊂ Ce(9) based on
- linear OA(931, 729, F9, 12) (dual of [729, 698, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(925, 729, F9, 10) (dual of [729, 704, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(91, 7, F9, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 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(932, 509, F9, 2, 12) (dual of [(509, 2), 986, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(932, 509, F9, 3, 12) (dual of [(509, 3), 1495, 13]-NRT-code) | [i] | ||
| 3 | Digital (20, 32, 509)-net over F9 | [i] | ||
| 4 | Linear OOA(932, 368, F9, 2, 12) (dual of [(368, 2), 704, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(932, 245, F9, 3, 12) (dual of [(245, 3), 703, 13]-NRT-code) | [i] | ||