Information on Result #1548884
Linear OOA(5103, 48564, F5, 3, 18) (dual of [(48564, 3), 145589, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5103, 48564, F5, 18) (dual of [48564, 48461, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(5103, 78150, F5, 18) (dual of [78150, 78047, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(13) [i] based on
- linear OA(599, 78125, F5, 18) (dual of [78125, 78026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- 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(54, 25, F5, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,5)), using
- construction X applied to Ce(17) ⊂ Ce(13) [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(5103, 16187, F5, 21, 18) (dual of [(16187, 21), 339824, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |