Information on Result #1198926
Digital (13, 22, 278)-net over F32, using net defined by OOA based on linear OOA(3222, 278, F32, 10, 9) (dual of [(278, 10), 2758, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3222, 557, F32, 2, 9) (dual of [(557, 2), 1092, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(325, 44, F32, 2, 4) (dual of [(44, 2), 83, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,83P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3217, 513, F32, 2, 9) (dual of [(513, 2), 1009, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3217, 1026, F32, 9) (dual of [1026, 1009, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(3217, 1024, F32, 9) (dual of [1024, 1007, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(3215, 1024, F32, 8) (dual of [1024, 1009, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 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(8) ⊂ Ce(7) [i] based on
- OOA 2-folding [i] based on linear OA(3217, 1026, F32, 9) (dual of [1026, 1009, 10]-code), using
- linear OOA(325, 44, F32, 2, 4) (dual of [(44, 2), 83, 5]-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.