Information on Result #1199126
Digital (29, 41, 5476)-net over F32, using net defined by OOA based on linear OOA(3241, 5476, F32, 14, 12) (dual of [(5476, 14), 76623, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3241, 16429, F32, 2, 12) (dual of [(16429, 2), 32817, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(327, 44, F32, 2, 6) (dual of [(44, 2), 81, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,81P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3234, 16385, F32, 2, 12) (dual of [(16385, 2), 32736, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3234, 32770, F32, 12) (dual of [32770, 32736, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3234, 32771, F32, 12) (dual of [32771, 32737, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(3234, 32768, F32, 12) (dual of [32768, 32734, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(3231, 32768, F32, 11) (dual of [32768, 32737, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 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(11) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(3234, 32771, F32, 12) (dual of [32771, 32737, 13]-code), using
- OOA 2-folding [i] based on linear OA(3234, 32770, F32, 12) (dual of [32770, 32736, 13]-code), using
- linear OOA(327, 44, F32, 2, 6) (dual of [(44, 2), 81, 7]-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.