Information on Result #1438300
Linear OOA(5105, 59389, F5, 2, 18) (dual of [(59389, 2), 118673, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5105, 59389, F5, 18) (dual of [59389, 59284, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(5105, 78155, F5, 18) (dual of [78155, 78050, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [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(571, 78125, F5, 13) (dual of [78125, 78054, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- construction X applied to Ce(17) ⊂ Ce(12) [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(5105, 29694, F5, 3, 18) (dual of [(29694, 3), 88977, 19]-NRT-code) | [i] | OOA Folding | |