Information on Result #636413
Linear OA(4251, 416, F4, 93) (dual of [416, 165, 94]-code), using concatenation of two codes based on
- linear OA(6449, 104, F64, 46) (dual of [104, 55, 47]-code), using
- extended algebraic-geometric code AGe(F,57P) [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(4251, 416, F4, 92) (dual of [416, 165, 93]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4252, 417, F4, 93) (dual of [417, 165, 94]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(4253, 418, F4, 93) (dual of [418, 165, 94]-code) | [i] | ||
| 4 | Linear OA(4254, 419, F4, 93) (dual of [419, 165, 94]-code) | [i] | ||
| 5 | Linear OA(4255, 420, F4, 93) (dual of [420, 165, 94]-code) | [i] | ||
| 6 | Linear OA(4250, 415, F4, 92) (dual of [415, 165, 93]-code) | [i] | Truncation | |
| 7 | Linear OOA(4251, 208, F4, 2, 93) (dual of [(208, 2), 165, 94]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(4251, 138, F4, 3, 93) (dual of [(138, 3), 163, 94]-NRT-code) | [i] | ||