Information on Result #629425
Linear OA(2175, 183, F2, 89) (dual of [183, 8, 90]-code), using concatenation of two codes based on
- linear OA(457, 61, F4, 44) (dual of [61, 4, 45]-code), using
- 3 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]
- 3 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(2175, 183, F2, 88) (dual of [183, 8, 89]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2174, 182, F2, 88) (dual of [182, 8, 89]-code) | [i] | Truncation | |
| 3 | Linear OOA(2175, 91, F2, 2, 89) (dual of [(91, 2), 7, 90]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2175, 61, F2, 3, 89) (dual of [(61, 3), 8, 90]-NRT-code) | [i] | ||