Information on Result #674160
Linear OA(259, 75, F2, 27) (dual of [75, 16, 28]-code), using construction X applied to Ce(26) ⊂ Ce(22) based on
- linear OA(254, 64, F2, 27) (dual of [64, 10, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(248, 64, F2, 23) (dual of [64, 16, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(25, 11, F2, 3) (dual of [11, 6, 4]-code or 11-cap in PG(4,2)), using
- discarding factors / shortening the dual code based on linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), 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(258, 74, F2, 26) (dual of [74, 16, 27]-code) | [i] | Truncation | |
| 2 | Linear OOA(259, 25, F2, 3, 27) (dual of [(25, 3), 16, 28]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(259, 15, F2, 5, 27) (dual of [(15, 5), 16, 28]-NRT-code) | [i] | ||