Information on Result #903916
Linear OOA(6457, 2153, F64, 2, 22) (dual of [(2153, 2), 4249, 23]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6414, 104, F64, 2, 11) (dual of [(104, 2), 194, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,196P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- linear OOA(6443, 2049, F64, 2, 22) (dual of [(2049, 2), 4055, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6443, 4098, F64, 22) (dual of [4098, 4055, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- 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(6441, 4096, F64, 21) (dual of [4096, 4055, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(21) ⊂ Ce(20) [i] based on
- OOA 2-folding [i] based on linear OA(6443, 4098, F64, 22) (dual of [4098, 4055, 23]-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.