Information on Result #899983
Linear OOA(2584, 7843, F25, 2, 24) (dual of [(7843, 2), 15602, 25]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2513, 27, F25, 2, 12) (dual of [(27, 2), 41, 13]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 13, 27)-net over F25, using
- net from sequence [i] based on digital (1, 26)-sequence over F25, using
- extracting embedded OOA [i] based on digital (1, 13, 27)-net over F25, using
- linear OOA(2571, 7816, F25, 2, 24) (dual of [(7816, 2), 15561, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2571, 15632, F25, 24) (dual of [15632, 15561, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(21) [i] based on
- linear OA(2570, 15625, F25, 24) (dual of [15625, 15555, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2564, 15625, F25, 22) (dual of [15625, 15561, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 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(23) ⊂ Ce(21) [i] based on
- OOA 2-folding [i] based on linear OA(2571, 15632, F25, 24) (dual of [15632, 15561, 25]-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(2584, 1307, F25, 26, 24) (dual of [(1307, 26), 33898, 25]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |