Information on Result #1199766
Digital (72, 92, 104873)-net over F32, using net defined by OOA based on linear OOA(3292, 104873, F32, 22, 20) (dual of [(104873, 22), 2307114, 21]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(3292, 524366, F32, 2, 20) (dual of [(524366, 2), 1048640, 21]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3215, 76, F32, 2, 10) (dual of [(76, 2), 137, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,141P) [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76, using
- linear OOA(3277, 524290, F32, 2, 20) (dual of [(524290, 2), 1048503, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3277, 1048580, F32, 20) (dual of [1048580, 1048503, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(3277, 1048576, F32, 20) (dual of [1048576, 1048499, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3273, 1048576, F32, 19) (dual of [1048576, 1048503, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(320, 4, F32, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- OOA 2-folding [i] based on linear OA(3277, 1048580, F32, 20) (dual of [1048580, 1048503, 21]-code), using
- linear OOA(3215, 76, F32, 2, 10) (dual of [(76, 2), 137, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
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.