Information on Result #1321647
Linear OA(738, 68, F7, 21) (dual of [68, 30, 22]-code), using construction X with Varšamov bound based on
- linear OA(737, 66, F7, 21) (dual of [66, 29, 22]-code), using
- a “GraX†code from Grassl’s database [i]
- linear OA(737, 67, F7, 20) (dual of [67, 30, 21]-code), using Gilbert–Varšamov bound and bm = 737 > Vbs−1(k−1) = 11 284235 565818 484824 387832 878641 [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(738, 34, F7, 2, 21) (dual of [(34, 2), 30, 22]-NRT-code) | [i] | OOA Folding | |