Information on Result #1018316
Linear OOA(6483, 1471, F64, 3, 32) (dual of [(1471, 3), 4330, 33]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6419, 104, F64, 3, 16) (dual of [(104, 3), 293, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,295P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- linear OOA(6464, 1367, F64, 3, 32) (dual of [(1367, 3), 4037, 33]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6464, 4101, F64, 32) (dual of [4101, 4037, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(29) [i] based on
- 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(6459, 4096, F64, 30) (dual of [4096, 4037, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(31) ⊂ Ce(29) [i] based on
- OOA 3-folding [i] based on linear OA(6464, 4101, F64, 32) (dual of [4101, 4037, 33]-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.