Information on Result #738049
Linear OA(239, 51, F2, 17) (dual of [51, 12, 18]-code), using concatenation of two codes based on
- linear OA(411, 17, F4, 8) (dual of [17, 6, 9]-code), using
- 1 times truncation [i] based on linear OA(412, 18, F4, 9) (dual of [18, 6, 10]-code), using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and 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(239, 51, F2, 16) (dual of [51, 12, 17]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(238, 50, F2, 16) (dual of [50, 12, 17]-code) | [i] | Truncation | |
| 3 | Linear OOA(239, 17, F2, 3, 17) (dual of [(17, 3), 12, 18]-NRT-code) | [i] | OOA Folding | |