Information on Result #945085
Linear OOA(254, 2735, F2, 3, 9) (dual of [(2735, 3), 8151, 10]-NRT-code), using OOA 3-folding based on linear OA(254, 8205, F2, 9) (dual of [8205, 8151, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(254, 8206, F2, 9) (dual of [8206, 8152, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(253, 8192, F2, 9) (dual of [8192, 8139, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(240, 8192, F2, 7) (dual of [8192, 8152, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(21, 14, F2, 1) (dual of [14, 13, 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
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
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(254, 2735, F2, 3, 8) (dual of [(2735, 3), 8151, 9]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(254, 2735, F2, 4, 9) (dual of [(2735, 4), 10886, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(254, 2735, F2, 5, 9) (dual of [(2735, 5), 13621, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(254, 2735, F2, 6, 9) (dual of [(2735, 6), 16356, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(254, 2735, F2, 7, 9) (dual of [(2735, 7), 19091, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(254, 2735, F2, 8, 9) (dual of [(2735, 8), 21826, 10]-NRT-code) | [i] | ||