Information on Result #899375
Linear OOA(2527, 7841, F25, 2, 8) (dual of [(7841, 2), 15655, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(255, 27, F25, 2, 4) (dual of [(27, 2), 49, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 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, 5, 27)-net over F25, using
- linear OOA(2522, 7814, F25, 2, 8) (dual of [(7814, 2), 15606, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2522, 15628, F25, 8) (dual of [15628, 15606, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- 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(2519, 15625, F25, 7) (dual of [15625, 15606, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(7) ⊂ Ce(6) [i] based on
- OOA 2-folding [i] based on linear OA(2522, 15628, F25, 8) (dual of [15628, 15606, 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(2527, 3920, F25, 10, 8) (dual of [(3920, 10), 39173, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |