Information on Result #731492
Linear OA(9128, 13132, F9, 32) (dual of [13132, 13004, 33]-code), using trace code based on linear OA(8164, 6566, F81, 32) (dual of [6566, 6502, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(29) [i] based on
- linear OA(8163, 6561, F81, 32) (dual of [6561, 6498, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(8159, 6561, F81, 30) (dual of [6561, 6502, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 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 OA(9129, 13133, F9, 32) (dual of [13133, 13004, 33]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9128, 6566, F9, 2, 32) (dual of [(6566, 2), 13004, 33]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(9128, 4377, F9, 3, 32) (dual of [(4377, 3), 13003, 33]-NRT-code) | [i] | ||