Information on Result #689036
Linear OA(9131, 4782994, F9, 21) (dual of [4782994, 4782863, 22]-code), using construction X applied to Ce(20) ⊂ Ce(16) based on
- linear OA(9127, 4782969, F9, 21) (dual of [4782969, 4782842, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(94, 25, F9, 3) (dual of [25, 21, 4]-code or 25-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(9131, 3350825, F9, 2, 21) (dual of [(3350825, 2), 6701519, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9131, 3350825, F9, 3, 21) (dual of [(3350825, 3), 10052344, 22]-NRT-code) | [i] | ||
| 3 | Digital (110, 131, 3350825)-net over F9 | [i] | ||
| 4 | Linear OOA(9131, 2391497, F9, 2, 21) (dual of [(2391497, 2), 4782863, 22]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9131, 1594331, F9, 3, 21) (dual of [(1594331, 3), 4782862, 22]-NRT-code) | [i] | ||
| 6 | Linear OOA(9131, 478299, F9, 21, 21) (dual of [(478299, 21), 10044148, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |