Information on Result #632557
Linear OA(3240, 336, F3, 89) (dual of [336, 96, 90]-code), using concatenation of two codes based on
- linear OA(2752, 84, F27, 44) (dual of [84, 32, 45]-code), using
- extended algebraic-geometric code AGe(F,39P) [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 84, using
- linear OA(31, 4, F3, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 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(3240, 336, F3, 88) (dual of [336, 96, 89]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3241, 337, F3, 89) (dual of [337, 96, 90]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3242, 338, F3, 89) (dual of [338, 96, 90]-code) | [i] | ||
| 4 | Linear OA(3243, 339, F3, 89) (dual of [339, 96, 90]-code) | [i] | ||
| 5 | Linear OA(3244, 340, F3, 89) (dual of [340, 96, 90]-code) | [i] | ||
| 6 | Linear OA(3239, 335, F3, 88) (dual of [335, 96, 89]-code) | [i] | Truncation | |
| 7 | Linear OOA(3240, 168, F3, 2, 89) (dual of [(168, 2), 96, 90]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3240, 112, F3, 3, 89) (dual of [(112, 3), 96, 90]-NRT-code) | [i] | ||