Information on Result #1201758
Digital (53, 74, 26235)-net over F64, using net defined by OOA based on linear OOA(6474, 26235, F64, 22, 21) (dual of [(26235, 22), 577096, 22]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(6474, 131176, F64, 2, 21) (dual of [(131176, 2), 262278, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6474, 131177, F64, 2, 21) (dual of [(131177, 2), 262280, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6413, 104, F64, 2, 10) (dual of [(104, 2), 195, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,197P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- linear OOA(6461, 131073, F64, 2, 21) (dual of [(131073, 2), 262085, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6461, 262146, F64, 21) (dual of [262146, 262085, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(6461, 262147, F64, 21) (dual of [262147, 262086, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- 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(6458, 262144, F64, 20) (dual of [262144, 262086, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(20) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(6461, 262147, F64, 21) (dual of [262147, 262086, 22]-code), using
- OOA 2-folding [i] based on linear OA(6461, 262146, F64, 21) (dual of [262146, 262085, 22]-code), using
- linear OOA(6413, 104, F64, 2, 10) (dual of [(104, 2), 195, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(6474, 131177, F64, 2, 21) (dual of [(131177, 2), 262280, 22]-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.