Information on Result #899379
Linear OOA(2534, 195343, F25, 2, 8) (dual of [(195343, 2), 390652, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(254, 26, F25, 2, 4) (dual of [(26, 2), 48, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;48,25) [i]
- linear OOA(2530, 195317, F25, 2, 8) (dual of [(195317, 2), 390604, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2530, 390634, F25, 8) (dual of [390634, 390604, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- linear OA(2529, 390625, F25, 8) (dual of [390625, 390596, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- 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(251, 9, F25, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- OOA 2-folding [i] based on linear OA(2530, 390634, F25, 8) (dual of [390634, 390604, 9]-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(25110, 4389644, F25, 2, 16) (dual of [(4389644, 2), 8779178, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2534, 97671, F25, 10, 8) (dual of [(97671, 10), 976676, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |