Information on Result #629447
Linear OA(2196, 204, F2, 99) (dual of [204, 8, 100]-code), using concatenation of two codes based on
- linear OA(464, 68, F4, 49) (dual of [68, 4, 50]-code), using
- 2 times truncation [i] 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]
- 2 times truncation [i] based on linear OA(466, 70, F4, 51) (dual of [70, 4, 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(2196, 204, F2, 98) (dual of [204, 8, 99]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(2196, 102, F2, 2, 99) (dual of [(102, 2), 8, 100]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2196, 68, F2, 3, 99) (dual of [(68, 3), 8, 100]-NRT-code) | [i] | ||