Information on Result #874329
Linear OOA(6457, 2089, F64, 2, 23) (dual of [(2089, 2), 4121, 24]-NRT-code), using OOA 2-folding based on linear OA(6457, 4178, F64, 23) (dual of [4178, 4121, 24]-code), using
- (u, u+v)-construction [i] based on
- linear OA(6412, 80, F64, 11) (dual of [80, 68, 12]-code), using
- extended algebraic-geometric code AGe(F,68P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(6445, 4098, F64, 23) (dual of [4098, 4053, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(6445, 4096, F64, 23) (dual of [4096, 4051, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(6443, 4096, F64, 22) (dual of [4096, 4053, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(22) ⊂ Ce(21) [i] based on
- linear OA(6412, 80, F64, 11) (dual of [80, 68, 12]-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.