Information on Result #899395
Linear OOA(2529, 7840, F25, 2, 9) (dual of [(7840, 2), 15651, 10]-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(2525, 7814, F25, 2, 9) (dual of [(7814, 2), 15603, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2525, 15628, F25, 9) (dual of [15628, 15603, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(2525, 15625, F25, 9) (dual of [15625, 15600, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(2522, 15625, F25, 8) (dual of [15625, 15603, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 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(8) ⊂ Ce(7) [i] based on
- OOA 2-folding [i] based on linear OA(2525, 15628, F25, 9) (dual of [15628, 15603, 10]-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(2529, 3919, F25, 10, 9) (dual of [(3919, 10), 39161, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |