Information on Result #611304
Linear OA(271, 88, F2, 31) (dual of [88, 17, 32]-code), using construction X applied to C([0,28]) ⊂ C([1,28]) based on
- linear OA(269, 85, F2, 31) (dual of [85, 16, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 85 | 28−1, defining interval I = [0,28], and minimum distance d ≥ |{−2,−1,…,28}|+1 = 32 (BCH-bound) [i]
- linear OA(268, 85, F2, 28) (dual of [85, 17, 29]-code), using the narrow-sense BCH-code C(I) with length 85 | 28−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(22, 3, F2, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,2)), using
- dual of repetition code with length 3 [i]
- Hamming code H(2,2) [i]
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(270, 87, F2, 30) (dual of [87, 17, 31]-code) | [i] | Truncation | |
| 2 | Linear OOA(271, 44, F2, 2, 31) (dual of [(44, 2), 17, 32]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(271, 29, F2, 3, 31) (dual of [(29, 3), 16, 32]-NRT-code) | [i] | ||