Information on Result #635948
Linear OA(4215, 416, F4, 69) (dual of [416, 201, 70]-code), using concatenation of two codes based on
- linear OA(6437, 104, F64, 34) (dual of [104, 67, 35]-code), using
- extended algebraic-geometric code AGe(F,69P) [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(4215, 416, F4, 68) (dual of [416, 201, 69]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4216, 417, F4, 69) (dual of [417, 201, 70]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4217, 418, F4, 69) (dual of [418, 201, 70]-code) | [i] | ||
| 4 | Linear OA(4214, 415, F4, 68) (dual of [415, 201, 69]-code) | [i] | Truncation | |
| 5 | Linear OOA(4215, 208, F4, 2, 69) (dual of [(208, 2), 201, 70]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4215, 138, F4, 3, 69) (dual of [(138, 3), 199, 70]-NRT-code) | [i] | ||