Information on Result #2295547
Linear OA(2134, 202, F2, 41) (dual of [202, 68, 42]-code), using adding a parity check bit based on linear OA(2133, 201, F2, 40) (dual of [201, 68, 41]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(2128, 195, F2, 40) (dual of [195, 67, 41]-code), using
- a “GraCyc†code from Grassl’s database [i]
- linear OA(2128, 196, F2, 35) (dual of [196, 68, 36]-code), using Gilbert–Varšamov bound and bm = 2128 > Vbs−1(k−1) = 146 023182 955137 677187 532309 795096 061846 [i]
- linear OA(24, 5, F2, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,2)), using
- dual of repetition code with length 5 [i]
- linear OA(2128, 195, F2, 40) (dual of [195, 67, 41]-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(2134, 202, F2, 40) (dual of [202, 68, 41]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2135, 203, F2, 41) (dual of [203, 68, 42]-code) | [i] | Code Embedding in Larger Space | |