Information on Result #2200686
Linear OA(487, 262176, F4, 12) (dual of [262176, 262089, 13]-code), using strength reduction based on linear OA(487, 262176, F4, 13) (dual of [262176, 262089, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(455, 262144, F4, 9) (dual of [262144, 262089, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(45, 32, F4, 3) (dual of [32, 27, 4]-code or 32-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), 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(487, 227278, F4, 2, 12) (dual of [(227278, 2), 454469, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(487, 227278, F4, 3, 12) (dual of [(227278, 3), 681747, 13]-NRT-code) | [i] | ||
| 3 | Digital (75, 87, 227278)-net over F4 | [i] | ||
| 4 | Linear OOA(487, 131088, F4, 2, 12) (dual of [(131088, 2), 262089, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(487, 87392, F4, 3, 12) (dual of [(87392, 3), 262089, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(487, 43696, F4, 12, 12) (dual of [(43696, 12), 524265, 13]-NRT-code) | [i] | OA Folding and Stacking | |