Information on Result #2295492
Linear OA(2107, 208, F2, 31) (dual of [208, 101, 32]-code), using adding a parity check bit based on linear OA(2106, 207, F2, 30) (dual of [207, 101, 31]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(299, 199, F2, 30) (dual of [199, 100, 31]-code), using
- a “TjhaiTomlinson†code from Grassl’s database [i]
- linear OA(299, 200, F2, 23) (dual of [200, 101, 24]-code), using Gilbert–Varšamov bound and bm = 299 > Vbs−1(k−1) = 114164 402995 431286 905851 163196 [i]
- linear OA(26, 7, F2, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,2)), using
- dual of repetition code with length 7 [i]
- linear OA(299, 199, F2, 30) (dual of [199, 100, 31]-code), using
Mode: 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(2107, 208, F2, 30) (dual of [208, 101, 31]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2108, 209, F2, 31) (dual of [209, 101, 32]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2109, 210, F2, 31) (dual of [210, 101, 32]-code) | [i] | ||
| 4 | Linear OA(2105, 206, F2, 29) (dual of [206, 101, 30]-code) | [i] | Truncation | |
| 5 | Linear OA(2104, 205, F2, 28) (dual of [205, 101, 29]-code) | [i] | ||