Information on Result #1323387
Linear OA(777, 98, F7, 49) (dual of [98, 21, 50]-code), using construction X with Varšamov bound based on
- linear OA(775, 95, F7, 49) (dual of [95, 20, 50]-code), using
- 5 times truncation [i] based on linear OA(780, 100, F7, 54) (dual of [100, 20, 55]-code), using
- linear OA(775, 96, F7, 47) (dual of [96, 21, 48]-code), using Gilbert–Varšamov bound and bm = 775 > Vbs−1(k−1) = 2270 392350 245491 148229 629269 340796 363353 413860 059775 145999 922359 [i]
- linear OA(71, 2, F7, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OOA(777, 49, F7, 2, 49) (dual of [(49, 2), 21, 50]-NRT-code) | [i] | OOA Folding | |