Information on Result #738064
Linear OA(2232, 246, F2, 109) (dual of [246, 14, 110]-code), using concatenation of two codes based on
- linear OA(475, 82, F4, 54) (dual of [82, 7, 55]-code), using
- 1 times truncation [i] based on linear OA(476, 83, F4, 55) (dual of [83, 7, 56]-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(2231, 245, F2, 108) (dual of [245, 14, 109]-code) | [i] | Truncation | |
| 2 | Linear OA(2230, 244, F2, 107) (dual of [244, 14, 108]-code) | [i] | ||
| 3 | Linear OA(2229, 243, F2, 106) (dual of [243, 14, 107]-code) | [i] | ||
| 4 | Linear OA(2228, 242, F2, 105) (dual of [242, 14, 106]-code) | [i] | ||
| 5 | Linear OA(2227, 241, F2, 104) (dual of [241, 14, 105]-code) | [i] | ||
| 6 | Linear OOA(2232, 123, F2, 2, 109) (dual of [(123, 2), 14, 110]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2232, 82, F2, 3, 109) (dual of [(82, 3), 14, 110]-NRT-code) | [i] | ||
| 8 | Linear OOA(2232, 49, F2, 5, 109) (dual of [(49, 5), 13, 110]-NRT-code) | [i] | ||