Information on Result #898365
Linear OOA(1670, 65588, F16, 2, 15) (dual of [(65588, 2), 131106, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1612, 50, F16, 2, 7) (dual of [(50, 2), 88, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(163, 17, F16, 2, 3) (dual of [(17, 2), 31, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;31,16) [i]
- linear OOA(169, 33, F16, 2, 7) (dual of [(33, 2), 57, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,58P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- linear OOA(163, 17, F16, 2, 3) (dual of [(17, 2), 31, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1658, 65538, F16, 2, 15) (dual of [(65538, 2), 131018, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1658, 131076, F16, 15) (dual of [131076, 131018, 16]-code), using
- trace code [i] based on linear OA(25629, 65538, F256, 15) (dual of [65538, 65509, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(25629, 65536, F256, 15) (dual of [65536, 65507, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- trace code [i] based on linear OA(25629, 65538, F256, 15) (dual of [65538, 65509, 16]-code), using
- OOA 2-folding [i] based on linear OA(1658, 131076, F16, 15) (dual of [131076, 131018, 16]-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.