Information on Result #673994
Linear OA(251, 136, F2, 15) (dual of [136, 85, 16]-code), using construction X applied to Ce(14) ⊂ Ce(12) based on
- linear OA(250, 128, F2, 15) (dual of [128, 78, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(243, 128, F2, 13) (dual of [128, 85, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(21, 8, F2, 1) (dual of [8, 7, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(250, 135, F2, 14) (dual of [135, 85, 15]-code) | [i] | Truncation | |
| 2 | Linear OOA(251, 68, F2, 2, 15) (dual of [(68, 2), 85, 16]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(251, 45, F2, 3, 15) (dual of [(45, 3), 84, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(251, 34, F2, 4, 15) (dual of [(34, 4), 85, 16]-NRT-code) | [i] | ||