Information on Result #673986
Linear OA(282, 136, F2, 27) (dual of [136, 54, 28]-code), using construction X applied to Ce(26) ⊂ Ce(22) based on
- linear OA(278, 128, F2, 27) (dual of [128, 50, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(271, 128, F2, 23) (dual of [128, 57, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(281, 135, F2, 26) (dual of [135, 54, 27]-code) | [i] | Truncation | |
| 2 | Linear OOA(282, 68, F2, 2, 27) (dual of [(68, 2), 54, 28]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(282, 45, F2, 3, 27) (dual of [(45, 3), 53, 28]-NRT-code) | [i] | ||