Information on Result #2177200
Linear OA(298, 105, F2, 50) (dual of [105, 7, 51]-code), using strength reduction based on linear OA(298, 105, F2, 51) (dual of [105, 7, 52]-code), using
- a code of Belov type defined by PG(6,2) ∖ (PG(3,2) ∪ PG(2,2)) [i]
- 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) [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(297, 104, F2, 49) (dual of [104, 7, 50]-code) | [i] | Truncation | |
| 2 | Linear OA(296, 103, F2, 48) (dual of [103, 7, 49]-code) | [i] | ||
| 3 | Linear OOA(298, 35, F2, 3, 50) (dual of [(35, 3), 7, 51]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(298, 21, F2, 5, 50) (dual of [(21, 5), 7, 51]-NRT-code) | [i] | ||