Information on Result #673966
Linear OA(2110, 136, F2, 47) (dual of [136, 26, 48]-code), using construction X applied to Ce(46) ⊂ Ce(42) based on
- linear OA(2106, 128, F2, 47) (dual of [128, 22, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(299, 128, F2, 43) (dual of [128, 29, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), 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(2109, 135, F2, 46) (dual of [135, 26, 47]-code) | [i] | Truncation | |
| 2 | Linear OOA(2110, 68, F2, 2, 47) (dual of [(68, 2), 26, 48]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2110, 45, F2, 3, 47) (dual of [(45, 3), 25, 48]-NRT-code) | [i] | ||
| 4 | Linear OOA(2110, 27, F2, 5, 47) (dual of [(27, 5), 25, 48]-NRT-code) | [i] | ||