Information on Result #689717
Linear OA(942, 6570, F9, 12) (dual of [6570, 6528, 13]-code), using construction X applied to Ce(11) ⊂ Ce(9) based on
- linear OA(941, 6561, F9, 12) (dual of [6561, 6520, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(933, 6561, F9, 10) (dual of [6561, 6528, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(91, 9, F9, 1) (dual of [9, 8, 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 OA(943, 6571, F9, 12) (dual of [6571, 6528, 13]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(942, 4622, F9, 2, 12) (dual of [(4622, 2), 9202, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(942, 4622, F9, 3, 12) (dual of [(4622, 3), 13824, 13]-NRT-code) | [i] | ||
| 4 | Digital (30, 42, 4622)-net over F9 | [i] | ||
| 5 | Linear OOA(942, 3285, F9, 2, 12) (dual of [(3285, 2), 6528, 13]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(942, 2190, F9, 3, 12) (dual of [(2190, 3), 6528, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(942, 1095, F9, 12, 12) (dual of [(1095, 12), 13098, 13]-NRT-code) | [i] | OA Folding and Stacking | |