Information on Result #689771
Linear OA(957, 6581, F9, 15) (dual of [6581, 6524, 16]-code), using construction X applied to Ce(14) ⊂ Ce(10) based on
- linear OA(953, 6561, F9, 15) (dual of [6561, 6508, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(937, 6561, F9, 11) (dual of [6561, 6524, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(957, 6581, F9, 2, 15) (dual of [(6581, 2), 13105, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(957, 6581, F9, 3, 15) (dual of [(6581, 3), 19686, 16]-NRT-code) | [i] | ||
| 3 | Digital (42, 57, 6581)-net over F9 | [i] | ||
| 4 | Linear OOA(957, 3290, F9, 2, 15) (dual of [(3290, 2), 6523, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(957, 2193, F9, 3, 15) (dual of [(2193, 3), 6522, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(957, 940, F9, 15, 15) (dual of [(940, 15), 14043, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |