Information on Result #661439
Linear OA(2221, 237, F2, 101) (dual of [237, 16, 102]-code), using concatenation of two codes based on
- linear OA(471, 79, F4, 50) (dual of [79, 8, 51]-code), using
- 1 times truncation [i] based on linear OA(472, 80, F4, 51) (dual of [80, 8, 52]-code), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(472, 80, F4, 51) (dual of [80, 8, 52]-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(2221, 237, F2, 100) (dual of [237, 16, 101]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2221, 237, F2, 99) (dual of [237, 16, 100]-code) | [i] | ||
| 3 | Linear OA(2221, 237, F2, 98) (dual of [237, 16, 99]-code) | [i] | ||
| 4 | Linear OA(2220, 236, F2, 100) (dual of [236, 16, 101]-code) | [i] | Truncation | |
| 5 | Linear OA(2217, 233, F2, 97) (dual of [233, 16, 98]-code) | [i] | ||
| 6 | Linear OA(2214, 230, F2, 94) (dual of [230, 16, 95]-code) | [i] | ||
| 7 | Linear OA(2213, 229, F2, 93) (dual of [229, 16, 94]-code) | [i] | ||
| 8 | Linear OA(2211, 227, F2, 91) (dual of [227, 16, 92]-code) | [i] | ||
| 9 | Linear OA(2210, 226, F2, 90) (dual of [226, 16, 91]-code) | [i] | ||
| 10 | Linear OOA(2221, 118, F2, 2, 101) (dual of [(118, 2), 15, 102]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(2221, 79, F2, 3, 101) (dual of [(79, 3), 16, 102]-NRT-code) | [i] | ||