Information on Result #610994
Linear OA(229, 43, F2, 13) (dual of [43, 14, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 43 | 214−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound)
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(232, 47, F2, 13) (dual of [47, 15, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2149, 171, F2, 61) (dual of [171, 22, 62]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 3 | Linear OA(2149, 170, F2, 61) (dual of [170, 21, 62]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 4 | Linear OOA(229, 14, F2, 3, 13) (dual of [(14, 3), 13, 14]-NRT-code) | [i] | OOA Folding | |