Information on Result #678435
Linear OA(478, 262176, F4, 11) (dual of [262176, 262098, 12]-code), using construction X applied to Ce(10) ⊂ Ce(6) based on
- linear OA(473, 262144, F4, 11) (dual of [262144, 262071, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(446, 262144, F4, 7) (dual of [262144, 262098, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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 OA(479, 262177, F4, 11) (dual of [262177, 262098, 12]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(478, 195692, F4, 2, 11) (dual of [(195692, 2), 391306, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(478, 195692, F4, 3, 11) (dual of [(195692, 3), 586998, 12]-NRT-code) | [i] | ||
| 4 | Digital (67, 78, 195692)-net over F4 | [i] | ||
| 5 | Linear OOA(478, 131088, F4, 2, 11) (dual of [(131088, 2), 262098, 12]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(478, 87392, F4, 3, 11) (dual of [(87392, 3), 262098, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(478, 52435, F4, 11, 11) (dual of [(52435, 11), 576707, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |