Information on Result #1018093
Linear OOA(6478, 87486, F64, 3, 22) (dual of [(87486, 3), 262380, 23]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6414, 104, F64, 3, 11) (dual of [(104, 3), 298, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,300P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- linear OOA(6464, 87382, F64, 3, 22) (dual of [(87382, 3), 262082, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6464, 262146, F64, 22) (dual of [262146, 262082, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(6464, 262147, F64, 22) (dual of [262147, 262083, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(6464, 262144, F64, 22) (dual of [262144, 262080, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(6461, 262144, F64, 21) (dual of [262144, 262083, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 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
- discarding factors / shortening the dual code based on linear OA(6464, 262147, F64, 22) (dual of [262147, 262083, 23]-code), using
- OOA 3-folding [i] based on linear OA(6464, 262146, F64, 22) (dual of [262146, 262082, 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.