Information on Result #1440238
Linear OOA(5144, 52243, F5, 2, 25) (dual of [(52243, 2), 104342, 26]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5144, 52243, F5, 25) (dual of [52243, 52099, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(5144, 78149, F5, 25) (dual of [78149, 78005, 26]-code), using
- 1 times truncation [i] 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
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- 1 times truncation [i] based on linear OA(5145, 78150, F5, 26) (dual of [78150, 78005, 27]-code), using
Mode: 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, 26121, F5, 3, 25) (dual of [(26121, 3), 78219, 26]-NRT-code) | [i] | OOA Folding | |