Information on Result #661547
Linear OA(5150, 204, F5, 73) (dual of [204, 54, 74]-code), using concatenation of two codes based on
- linear OA(2541, 68, F25, 36) (dual of [68, 27, 37]-code), using
- construction X applied to AG(F,28P) ⊂ AG(F,30P) [i] based on
- linear OA(2540, 65, F25, 36) (dual of [65, 25, 37]-code), using algebraic-geometric code AG(F,28P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2538, 65, F25, 34) (dual of [65, 27, 35]-code), using algebraic-geometric code AG(F,30P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66 (see above)
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,28P) ⊂ AG(F,30P) [i] based on
- linear OA(51, 3, F5, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 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(5150, 204, F5, 72) (dual of [204, 54, 73]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5149, 203, F5, 72) (dual of [203, 54, 73]-code) | [i] | Truncation | |
| 3 | Linear OOA(5150, 102, F5, 2, 73) (dual of [(102, 2), 54, 74]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(5150, 68, F5, 3, 73) (dual of [(68, 3), 54, 74]-NRT-code) | [i] | ||