Information on Result #636055
Linear OA(4224, 416, F4, 75) (dual of [416, 192, 76]-code), using concatenation of two codes based on
- linear OA(6440, 104, F64, 37) (dual of [104, 64, 38]-code), using
- extended algebraic-geometric code AGe(F,66P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4224, 416, F4, 74) (dual of [416, 192, 75]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4225, 417, F4, 75) (dual of [417, 192, 76]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4226, 418, F4, 75) (dual of [418, 192, 76]-code) | [i] | ||
| 4 | Linear OA(4227, 419, F4, 75) (dual of [419, 192, 76]-code) | [i] | ||
| 5 | Linear OA(4228, 420, F4, 75) (dual of [420, 192, 76]-code) | [i] | ||
| 6 | Linear OA(4223, 415, F4, 74) (dual of [415, 192, 75]-code) | [i] | Truncation | |
| 7 | Linear OOA(4224, 208, F4, 2, 75) (dual of [(208, 2), 192, 76]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(4224, 138, F4, 3, 75) (dual of [(138, 3), 190, 76]-NRT-code) | [i] | ||