Information on Result #900045
Linear OOA(2589, 7864, F25, 2, 26) (dual of [(7864, 2), 15639, 27]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2516, 52, F25, 2, 13) (dual of [(52, 2), 88, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,90P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- linear OOA(2573, 7812, F25, 2, 26) (dual of [(7812, 2), 15551, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2573, 15624, F25, 26) (dual of [15624, 15551, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- discarding factors / shortening the dual code based on linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using
- OOA 2-folding [i] based on linear OA(2573, 15624, F25, 26) (dual of [15624, 15551, 27]-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
None.