Information on Result #1202718
Digital (62, 80, 932105)-net over F81, using net defined by OOA based on linear OOA(8180, 932105, F81, 21, 18) (dual of [(932105, 21), 19574125, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8180, 2796316, F81, 3, 18) (dual of [(2796316, 3), 8388868, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8180, 2796317, F81, 3, 18) (dual of [(2796317, 3), 8388871, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8111, 116, F81, 3, 9) (dual of [(116, 3), 337, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,338P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(8169, 2796201, F81, 3, 18) (dual of [(2796201, 3), 8388534, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8169, large, F81, 18) (dual of [large, large−69, 19]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(8169, large, F81, 18) (dual of [large, large−69, 19]-code), using
- linear OOA(8111, 116, F81, 3, 9) (dual of [(116, 3), 337, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(8180, 2796317, F81, 3, 18) (dual of [(2796317, 3), 8388871, 19]-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.