Information on Result #652887
Linear OA(4953, 350, F49, 29) (dual of [350, 297, 30]-code), using construction X applied to AG(F,313P) ⊂ AG(F,317P) based on
- linear OA(4950, 343, F49, 29) (dual of [343, 293, 30]-code), using algebraic-geometric code AG(F,313P) [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344, using
- the Hermitian function field over F49 [i]
- linear OA(4946, 343, F49, 25) (dual of [343, 297, 26]-code), using algebraic-geometric code AG(F,317P) [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344 (see above)
- linear OA(493, 7, F49, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,49) or 7-cap in PG(2,49)), using
- discarding factors / shortening the dual code based on linear OA(493, 49, F49, 3) (dual of [49, 46, 4]-code or 49-arc in PG(2,49) or 49-cap in PG(2,49)), using
- Reed–Solomon code RS(46,49) [i]
- discarding factors / shortening the dual code based on linear OA(493, 49, F49, 3) (dual of [49, 46, 4]-code or 49-arc in PG(2,49) or 49-cap in PG(2,49)), 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 OOA(4953, 175, F49, 2, 29) (dual of [(175, 2), 297, 30]-NRT-code) | [i] | OOA Folding | |