Information on Result #1189256
Digital (85, 104, 1742)-net over F5, using net defined by OOA based on linear OOA(5104, 1742, F5, 21, 19) (dual of [(1742, 21), 36478, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(5104, 5227, F5, 3, 19) (dual of [(5227, 3), 15577, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5104, 5228, F5, 3, 19) (dual of [(5228, 3), 15580, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(513, 18, F5, 3, 9) (dual of [(18, 3), 41, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,44P) [i] based on function field F/F5 with g(F) = 4 and N(F) ≥ 18, using
- linear OOA(591, 5210, F5, 3, 19) (dual of [(5210, 3), 15539, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(591, 15630, F5, 19) (dual of [15630, 15539, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(591, 15631, F5, 19) (dual of [15631, 15540, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(591, 15625, F5, 19) (dual of [15625, 15534, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(585, 15625, F5, 18) (dual of [15625, 15540, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(50, 6, F5, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(591, 15631, F5, 19) (dual of [15631, 15540, 20]-code), using
- OOA 3-folding [i] based on linear OA(591, 15630, F5, 19) (dual of [15630, 15539, 20]-code), using
- linear OOA(513, 18, F5, 3, 9) (dual of [(18, 3), 41, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(5104, 5228, F5, 3, 19) (dual of [(5228, 3), 15580, 20]-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.