Information on Result #1439612
Linear OOA(5133, 53683, F5, 2, 23) (dual of [(53683, 2), 107233, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5133, 53683, F5, 23) (dual of [53683, 53550, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(5133, 78155, F5, 23) (dual of [78155, 78022, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- linear OA(5127, 78125, F5, 23) (dual of [78125, 77998, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- 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(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [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(5133, 26841, F5, 3, 23) (dual of [(26841, 3), 80390, 24]-NRT-code) | [i] | OOA Folding | |