Information on Result #899349
Linear OOA(2525, 195940, F25, 2, 6) (dual of [(195940, 2), 391855, 7]-NRT-code), using (u, u+v)-construction based on
- linear OOA(254, 626, F25, 2, 3) (dual of [(626, 2), 1248, 4]-NRT-code), using
- linear OOA(2521, 195314, F25, 2, 6) (dual of [(195314, 2), 390607, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2521, 390628, F25, 6) (dual of [390628, 390607, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(2521, 390629, F25, 6) (dual of [390629, 390608, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(2521, 390625, F25, 6) (dual of [390625, 390604, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(2517, 390625, F25, 5) (dual of [390625, 390608, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(2521, 390629, F25, 6) (dual of [390629, 390608, 7]-code), using
- OOA 2-folding [i] based on linear OA(2521, 390628, F25, 6) (dual of [390628, 390607, 7]-code), using
Mode: Constructive and 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(2581, 4390241, F25, 2, 12) (dual of [(4390241, 2), 8780401, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2586, 4390241, F25, 2, 13) (dual of [(4390241, 2), 8780396, 14]-NRT-code) | [i] | ||