Information on Result #737535
Linear OA(587, 78169, F5, 14) (dual of [78169, 78082, 15]-code), using construction X applied to Ce(13) ⊂ Ce(7) based on
- linear OA(578, 78125, F5, 14) (dual of [78125, 78047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(543, 78125, F5, 8) (dual of [78125, 78082, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(59, 44, F5, 5) (dual of [44, 35, 6]-code), 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(587, 78169, F5, 2, 14) (dual of [(78169, 2), 156251, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(587, 78169, F5, 3, 14) (dual of [(78169, 3), 234420, 15]-NRT-code) | [i] | ||
| 3 | Digital (73, 87, 78169)-net over F5 | [i] | ||
| 4 | Linear OA(588, 78171, F5, 14) (dual of [78171, 78083, 15]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(587, 39084, F5, 2, 14) (dual of [(39084, 2), 78081, 15]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(587, 26056, F5, 3, 14) (dual of [(26056, 3), 78081, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(587, 11167, F5, 14, 14) (dual of [(11167, 14), 156251, 15]-NRT-code) | [i] | OA Folding and Stacking | |