Information on Result #1018356
Linear OOA(6490, 1495, F64, 3, 34) (dual of [(1495, 3), 4395, 35]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6422, 128, F64, 3, 17) (dual of [(128, 3), 362, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,366P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- linear OOA(6468, 1367, F64, 3, 34) (dual of [(1367, 3), 4033, 35]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6468, 4101, F64, 34) (dual of [4101, 4033, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(31) [i] based on
- linear OA(6467, 4096, F64, 34) (dual of [4096, 4029, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(6463, 4096, F64, 32) (dual of [4096, 4033, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(33) ⊂ Ce(31) [i] based on
- OOA 3-folding [i] based on linear OA(6468, 4101, F64, 34) (dual of [4101, 4033, 35]-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.