Information on Result #1164198
Linear OOA(250, 1027, F2, 8, 9) (dual of [(1027, 8), 8166, 10]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OA(250, 4109, F2, 9) (dual of [4109, 4059, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(249, 4096, F2, 9) (dual of [4096, 4047, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(237, 4096, F2, 7) (dual of [4096, 4059, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(21, 13, F2, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(250, 1027, F2, 8, 8) (dual of [(1027, 8), 8166, 9]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(251, 1027, F2, 8, 9) (dual of [(1027, 8), 8165, 10]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(252, 1027, F2, 8, 9) (dual of [(1027, 8), 8164, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(2257, 1049602, F2, 8, 18) (dual of [(1049602, 8), 8396559, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(2258, 1049602, F2, 8, 19) (dual of [(1049602, 8), 8396558, 20]-NRT-code) | [i] | ||
| 6 | Linear OOA(250, 1027, F2, 9, 9) (dual of [(1027, 9), 9193, 10]-NRT-code) | [i] | Appending kth Column | |