Information on Result #1321016
Linear OA(2139, 169, F2, 52) (dual of [169, 30, 53]-code), using construction X with Varšamov bound based on
- linear OA(2130, 159, F2, 52) (dual of [159, 29, 53]-code), using
- a “GraXX†code from Grassl’s database [i]
- linear OA(2130, 160, F2, 43) (dual of [160, 30, 44]-code), using Gilbert–Varšamov bound and bm = 2130 > Vbs−1(k−1) = 812 751777 989941 519069 349102 892047 688244 [i]
- linear OA(28, 9, F2, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,2)), using
- dual of repetition code with length 9 [i]
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(2140, 170, F2, 53) (dual of [170, 30, 54]-code) | [i] | Adding a Parity Check Bit | |