Information on Result #900285
Linear OOA(2599, 441, F25, 2, 37) (dual of [(441, 2), 783, 38]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2528, 126, F25, 2, 18) (dual of [(126, 2), 224, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,233P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- extended algebraic-geometric NRT-code AGe(2;F,233P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- linear OOA(2571, 315, F25, 2, 37) (dual of [(315, 2), 559, 38]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2571, 630, F25, 37) (dual of [630, 559, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(34) [i] based on
- linear OA(2570, 625, F25, 37) (dual of [625, 555, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2566, 625, F25, 35) (dual of [625, 559, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(251, 5, F25, 1) (dual of [5, 4, 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 Ce(36) ⊂ Ce(34) [i] based on
- OOA 2-folding [i] based on linear OA(2571, 630, F25, 37) (dual of [630, 559, 38]-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.