Information on Result #2244426
Linear OA(4255, 423, F4, 92) (dual of [423, 168, 93]-code), using 1 times truncation based on linear OA(4256, 424, F4, 93) (dual of [424, 168, 94]-code), using
- concatenation of two codes [i] based on
- linear OA(6450, 106, F64, 46) (dual of [106, 56, 47]-code), using
- construction X applied to AG(F,56P) ⊂ AG(F,58P) [i] based on
- linear OA(6449, 103, F64, 46) (dual of [103, 54, 47]-code), using algebraic-geometric code AG(F,56P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- linear OA(6447, 103, F64, 44) (dual of [103, 56, 45]-code), using algebraic-geometric code AG(F,58P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104 (see above)
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,56P) ⊂ AG(F,58P) [i] based on
- 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
- linear OA(6450, 106, F64, 46) (dual of [106, 56, 47]-code), 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(4257, 425, F4, 92) (dual of [425, 168, 93]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4258, 426, F4, 92) (dual of [426, 168, 93]-code) | [i] | ||
| 3 | Linear OOA(4255, 211, F4, 2, 92) (dual of [(211, 2), 167, 93]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4255, 141, F4, 3, 92) (dual of [(141, 3), 168, 93]-NRT-code) | [i] | ||