Information on Result #689770
Linear OA(961, 6581, F9, 16) (dual of [6581, 6520, 17]-code), using construction X applied to Ce(15) ⊂ Ce(11) based on
- linear OA(957, 6561, F9, 16) (dual of [6561, 6504, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 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(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(961, 6581, F9, 2, 16) (dual of [(6581, 2), 13101, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(961, 6581, F9, 3, 16) (dual of [(6581, 3), 19682, 17]-NRT-code) | [i] | ||
| 3 | Digital (45, 61, 6581)-net over F9 | [i] | ||
| 4 | Linear OOA(961, 3290, F9, 2, 16) (dual of [(3290, 2), 6519, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(961, 2193, F9, 3, 16) (dual of [(2193, 3), 6518, 17]-NRT-code) | [i] | ||