Information on Result #1321655
Linear OA(756, 82, F7, 33) (dual of [82, 26, 34]-code), using construction X with Varšamov bound based on
- linear OA(755, 80, F7, 33) (dual of [80, 25, 34]-code), using
- 1 times truncation [i] based on linear OA(756, 81, F7, 34) (dual of [81, 25, 35]-code), using
- a “GraX†code from Grassl’s database [i]
- 1 times truncation [i] based on linear OA(756, 81, F7, 34) (dual of [81, 25, 35]-code), using
- linear OA(755, 81, F7, 32) (dual of [81, 26, 33]-code), using Gilbert–Varšamov bound and bm = 755 > Vbs−1(k−1) = 21152 826143 048561 590282 005011 610006 052224 496513 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-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(756, 41, F7, 2, 33) (dual of [(41, 2), 26, 34]-NRT-code) | [i] | OOA Folding | |