Information on Result #689772
Linear OA(953, 6581, F9, 14) (dual of [6581, 6528, 15]-code), using construction X applied to Ce(13) ⊂ Ce(9) based on
- linear OA(949, 6561, F9, 14) (dual of [6561, 6512, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(94, 20, F9, 3) (dual of [20, 16, 4]-code or 20-cap in PG(3,9)), 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(953, 6581, F9, 2, 14) (dual of [(6581, 2), 13109, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(953, 6581, F9, 3, 14) (dual of [(6581, 3), 19690, 15]-NRT-code) | [i] | ||
| 3 | Digital (39, 53, 6581)-net over F9 | [i] | ||
| 4 | Linear OOA(953, 3290, F9, 2, 14) (dual of [(3290, 2), 6527, 15]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(953, 2193, F9, 3, 14) (dual of [(2193, 3), 6526, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(953, 940, F9, 14, 14) (dual of [(940, 14), 13107, 15]-NRT-code) | [i] | OA Folding and Stacking | |