Information on Result #1550384
Linear OOA(5136, 1342872, F5, 3, 18) (dual of [(1342872, 3), 4028480, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5136, 1342872, F5, 18) (dual of [1342872, 1342736, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(5136, 1953135, F5, 18) (dual of [1953135, 1952999, 19]-code), using
- (u, u+v)-construction [i] based on
- linear OA(59, 10, F5, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,5)), using
- dual of repetition code with length 10 [i]
- linear OA(5127, 1953125, F5, 18) (dual of [1953125, 1952998, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(59, 10, F5, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,5)), using
- (u, u+v)-construction [i] based on
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(5136, 447623, F5, 21, 18) (dual of [(447623, 21), 9399947, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |