Information on Result #2247286
Linear OA(5144, 78149, F5, 25) (dual of [78149, 78005, 26]-code), using 1 times truncation based on linear OA(5145, 78150, F5, 26) (dual of [78150, 78005, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- linear OA(5141, 78125, F5, 26) (dual of [78125, 77984, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(5120, 78125, F5, 22) (dual of [78125, 78005, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(5144, 52243, F5, 2, 25) (dual of [(52243, 2), 104342, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5144, 52243, F5, 3, 25) (dual of [(52243, 3), 156585, 26]-NRT-code) | [i] | ||
| 3 | Digital (119, 144, 52243)-net over F5 | [i] | ||
| 4 | Linear OOA(5144, 39074, F5, 2, 25) (dual of [(39074, 2), 78004, 26]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5144, 26049, F5, 3, 25) (dual of [(26049, 3), 78003, 26]-NRT-code) | [i] | ||
| 6 | Linear OOA(5144, 6512, F5, 25, 25) (dual of [(6512, 25), 162656, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |