Information on Result #1186720
Digital (86, 104, 1825)-net over F4, using net defined by OOA based on linear OOA(4104, 1825, F4, 21, 18) (dual of [(1825, 21), 38221, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4104, 5476, F4, 3, 18) (dual of [(5476, 3), 16324, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4104, 5477, F4, 3, 18) (dual of [(5477, 3), 16327, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(412, 14, F4, 3, 9) (dual of [(14, 3), 30, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,32P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- linear OOA(492, 5463, F4, 3, 18) (dual of [(5463, 3), 16297, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(492, 16389, F4, 18) (dual of [16389, 16297, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(492, 16391, F4, 18) (dual of [16391, 16299, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(485, 16384, F4, 17) (dual of [16384, 16299, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(40, 7, F4, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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(492, 16391, F4, 18) (dual of [16391, 16299, 19]-code), using
- OOA 3-folding [i] based on linear OA(492, 16389, F4, 18) (dual of [16389, 16297, 19]-code), using
- linear OOA(412, 14, F4, 3, 9) (dual of [(14, 3), 30, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(4104, 5477, F4, 3, 18) (dual of [(5477, 3), 16327, 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.