Information on Result #738062
Linear OA(2223, 237, F2, 105) (dual of [237, 14, 106]-code), using concatenation of two codes based on
- linear OA(472, 79, F4, 52) (dual of [79, 7, 53]-code), using
- 1 times truncation [i] based on linear OA(473, 80, F4, 53) (dual of [80, 7, 54]-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(2223, 237, F2, 104) (dual of [237, 14, 105]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2227, 241, F2, 105) (dual of [241, 14, 106]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2222, 236, F2, 104) (dual of [236, 14, 105]-code) | [i] | Truncation | |
| 4 | Linear OA(2221, 235, F2, 103) (dual of [235, 14, 104]-code) | [i] | ||
| 5 | Linear OA(2220, 234, F2, 102) (dual of [234, 14, 103]-code) | [i] | ||
| 6 | Linear OA(2219, 233, F2, 101) (dual of [233, 14, 102]-code) | [i] | ||
| 7 | Linear OA(2218, 232, F2, 100) (dual of [232, 14, 101]-code) | [i] | ||
| 8 | Linear OOA(2223, 118, F2, 2, 105) (dual of [(118, 2), 13, 106]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2223, 79, F2, 3, 105) (dual of [(79, 3), 14, 106]-NRT-code) | [i] | ||