Information on Result #1201898
Digital (61, 86, 21865)-net over F64, using net defined by OOA based on linear OOA(6486, 21865, F64, 27, 25) (dual of [(21865, 27), 590269, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(6486, 87461, F64, 3, 25) (dual of [(87461, 3), 262297, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6486, 87462, F64, 3, 25) (dual of [(87462, 3), 262300, 26]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6413, 80, F64, 3, 12) (dual of [(80, 3), 227, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,227P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OOA(6473, 87382, F64, 3, 25) (dual of [(87382, 3), 262073, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6473, 262146, F64, 25) (dual of [262146, 262073, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(6473, 262147, F64, 25) (dual of [262147, 262074, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(6473, 262144, F64, 25) (dual of [262144, 262071, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(6470, 262144, F64, 24) (dual of [262144, 262074, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(24) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(6473, 262147, F64, 25) (dual of [262147, 262074, 26]-code), using
- OOA 3-folding [i] based on linear OA(6473, 262146, F64, 25) (dual of [262146, 262073, 26]-code), using
- linear OOA(6413, 80, F64, 3, 12) (dual of [(80, 3), 227, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(6486, 87462, F64, 3, 25) (dual of [(87462, 3), 262300, 26]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.