Information on Result #1189168
Digital (65, 83, 352)-net over F5, using net defined by OOA based on linear OOA(583, 352, F5, 21, 18) (dual of [(352, 21), 7309, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(583, 1057, F5, 3, 18) (dual of [(1057, 3), 3088, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(583, 1059, F5, 3, 18) (dual of [(1059, 3), 3094, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(512, 16, F5, 3, 9) (dual of [(16, 3), 36, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,38P) [i] based on function field F/F5 with g(F) = 3 and N(F) ≥ 16, using
- linear OOA(571, 1043, F5, 3, 18) (dual of [(1043, 3), 3058, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(571, 3129, F5, 18) (dual of [3129, 3058, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(571, 3130, F5, 18) (dual of [3130, 3059, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(571, 3125, F5, 18) (dual of [3125, 3054, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(566, 3125, F5, 17) (dual of [3125, 3059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(50, 5, F5, 0) (dual of [5, 5, 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(17) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(571, 3130, F5, 18) (dual of [3130, 3059, 19]-code), using
- OOA 3-folding [i] based on linear OA(571, 3129, F5, 18) (dual of [3129, 3058, 19]-code), using
- linear OOA(512, 16, F5, 3, 9) (dual of [(16, 3), 36, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(583, 1059, F5, 3, 18) (dual of [(1059, 3), 3094, 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.