Information on Result #2246813
Linear OA(560, 78149, F5, 10) (dual of [78149, 78089, 11]-code), using 1 times truncation based on linear OA(561, 78150, F5, 11) (dual of [78150, 78089, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(6) [i] based on
- linear OA(557, 78125, F5, 11) (dual of [78125, 78068, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(536, 78125, F5, 7) (dual of [78125, 78089, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(54, 25, F5, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,5)), 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(560, 78149, F5, 2, 10) (dual of [(78149, 2), 156238, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(560, 78149, F5, 3, 10) (dual of [(78149, 3), 234387, 11]-NRT-code) | [i] | ||
| 3 | Digital (50, 60, 78149)-net over F5 | [i] | ||
| 4 | Linear OOA(560, 39074, F5, 2, 10) (dual of [(39074, 2), 78088, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(560, 26049, F5, 3, 10) (dual of [(26049, 3), 78087, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(560, 15629, F5, 10, 10) (dual of [(15629, 10), 156230, 11]-NRT-code) | [i] | OA Folding and Stacking | |