Information on Result #899339
Linear OOA(2520, 195965, F25, 2, 5) (dual of [(195965, 2), 391910, 6]-NRT-code), using (u, u+v)-construction based on
- linear OOA(253, 651, F25, 2, 2) (dual of [(651, 2), 1299, 3]-NRT-code), using
- appending kth column [i] based on linear OA(253, 651, F25, 2) (dual of [651, 648, 3]-code), using
- Hamming code H(3,25) [i]
- appending kth column [i] based on linear OA(253, 651, F25, 2) (dual of [651, 648, 3]-code), using
- linear OOA(2517, 195314, F25, 2, 5) (dual of [(195314, 2), 390611, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2517, 390628, F25, 5) (dual of [390628, 390611, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(2517, 390629, F25, 5) (dual of [390629, 390612, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- 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(2513, 390625, F25, 4) (dual of [390625, 390612, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(4) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(2517, 390629, F25, 5) (dual of [390629, 390612, 6]-code), using
- OOA 2-folding [i] based on linear OA(2517, 390628, F25, 5) (dual of [390628, 390611, 6]-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(2566, 4390266, F25, 2, 10) (dual of [(4390266, 2), 8780466, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2571, 4390266, F25, 2, 11) (dual of [(4390266, 2), 8780461, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(2520, 195964, F25, 6, 5) (dual of [(195964, 6), 1175764, 6]-NRT-code) | [i] | OOA Stacking with Additional Row | |