Information on Result #669294
Linear OA(4926, 2452, F49, 11) (dual of [2452, 2426, 12]-code), using (u, u+v)-construction based on
- linear OA(495, 50, F49, 5) (dual of [50, 45, 6]-code or 50-arc in PG(4,49)), using
- extended Reed–Solomon code RSe(45,49) [i]
- the expurgated narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- algebraic-geometric code AG(F,22P) with degPÂ =Â 2 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using the rational function field F49(x) [i]
- algebraic-geometric code AG(F, Q+14P) with degQ = 2 and degPÂ =Â 3 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
- algebraic-geometric code AG(F, Q+8P) with degQ = 4 and degPÂ =Â 5 [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50 (see above)
- linear OA(4921, 2402, F49, 11) (dual of [2402, 2381, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
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(4926, 1226, F49, 2, 11) (dual of [(1226, 2), 2426, 12]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4926, 817, F49, 3, 11) (dual of [(817, 3), 2425, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(4926, 490, F49, 11, 11) (dual of [(490, 11), 5364, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |