Information on Result #629451
Linear OA(2202, 210, F2, 103) (dual of [210, 8, 104]-code), using concatenation of two codes based on
- linear OA(466, 70, F4, 51) (dual of [70, 4, 52]-code), using
- a code of Belov type defined by PG(3,4) ∖ 3×PG(1,4) [i]
- 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(2202, 210, F2, 102) (dual of [210, 8, 103]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2203, 211, F2, 103) (dual of [211, 8, 104]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2201, 209, F2, 102) (dual of [209, 8, 103]-code) | [i] | Truncation | |
| 4 | Linear OA(2200, 208, F2, 101) (dual of [208, 8, 102]-code) | [i] | ||
| 5 | Linear OOA(2202, 105, F2, 2, 103) (dual of [(105, 2), 8, 104]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2202, 70, F2, 3, 103) (dual of [(70, 3), 8, 104]-NRT-code) | [i] | ||
| 7 | Linear OOA(2202, 42, F2, 5, 103) (dual of [(42, 5), 8, 104]-NRT-code) | [i] | ||