Information on Result #1022467
Linear OOA(6477, 1576, F64, 3, 27) (dual of [(1576, 3), 4651, 28]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6424, 210, F64, 3, 13) (dual of [(210, 3), 606, 14]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(644, 65, F64, 3, 4) (dual of [(65, 3), 191, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;191,64) [i]
- linear OOA(646, 65, F64, 3, 6) (dual of [(65, 3), 189, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;189,64) [i]
- linear OOA(6414, 80, F64, 3, 13) (dual of [(80, 3), 226, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,226P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(644, 65, F64, 3, 4) (dual of [(65, 3), 191, 5]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(6453, 1366, F64, 3, 27) (dual of [(1366, 3), 4045, 28]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6453, 4098, F64, 27) (dual of [4098, 4045, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(6453, 4096, F64, 27) (dual of [4096, 4043, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(6451, 4096, F64, 26) (dual of [4096, 4045, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- OOA 3-folding [i] based on linear OA(6453, 4098, F64, 27) (dual of [4098, 4045, 28]-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.