Information on Result #611439
Linear OA(298, 105, F2, 51) (dual of [105, 7, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 105 | 212−1, defining interval I = [0,44], and minimum distance d ≥ |{−6,−5,…,44}|+1 = 52 (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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(298, 105, F2, 50) (dual of [105, 7, 51]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(299, 106, F2, 51) (dual of [106, 7, 52]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(297, 104, F2, 50) (dual of [104, 7, 51]-code) | [i] | Truncation | |
| 4 | Linear OA(296, 103, F2, 49) (dual of [103, 7, 50]-code) | [i] | ||
| 5 | Linear OA(2104, 112, F2, 51) (dual of [112, 8, 52]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(2111, 119, F2, 55) (dual of [119, 8, 56]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(2108, 116, F2, 53) (dual of [116, 8, 54]-code) | [i] | ✔ | |
| 8 | Linear OOA(298, 35, F2, 3, 51) (dual of [(35, 3), 7, 52]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(298, 21, F2, 5, 51) (dual of [(21, 5), 7, 52]-NRT-code) | [i] | ||