Information on Result #629431
Linear OA(2178, 186, F2, 91) (dual of [186, 8, 92]-code), using concatenation of two codes based on
- linear OA(458, 62, F4, 45) (dual of [62, 4, 46]-code), using
- 2 times truncation [i] based on linear OA(460, 64, F4, 47) (dual of [64, 4, 48]-code), using
- a code of Belov type defined by PG(3,4) ∖ PG(2,4) [i]
- 2 times truncation [i] based on linear OA(460, 64, F4, 47) (dual of [64, 4, 48]-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(2178, 186, F2, 90) (dual of [186, 8, 91]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2177, 185, F2, 90) (dual of [185, 8, 91]-code) | [i] | Truncation | |
| 3 | Linear OA(2176, 184, F2, 89) (dual of [184, 8, 90]-code) | [i] | ||
| 4 | Linear OOA(2178, 93, F2, 2, 91) (dual of [(93, 2), 8, 92]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2178, 62, F2, 3, 91) (dual of [(62, 3), 8, 92]-NRT-code) | [i] | ||
| 6 | Linear OOA(2178, 37, F2, 5, 91) (dual of [(37, 5), 7, 92]-NRT-code) | [i] | ||