Information on Result #1186820
Digital (93, 112, 1826)-net over F4, using net defined by OOA based on linear OOA(4112, 1826, F4, 21, 19) (dual of [(1826, 21), 38234, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4112, 5479, F4, 3, 19) (dual of [(5479, 3), 16325, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4112, 5480, F4, 3, 19) (dual of [(5480, 3), 16328, 20]-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(4100, 5466, F4, 3, 19) (dual of [(5466, 3), 16298, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4100, 16398, F4, 19) (dual of [16398, 16298, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(4100, 16400, F4, 19) (dual of [16400, 16300, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- linear OA(499, 16385, F4, 19) (dual of [16385, 16286, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(485, 16385, F4, 17) (dual of [16385, 16300, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(41, 15, F4, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- discarding factors / shortening the dual code based on linear OA(4100, 16400, F4, 19) (dual of [16400, 16300, 20]-code), using
- OOA 3-folding [i] based on linear OA(4100, 16398, F4, 19) (dual of [16398, 16298, 20]-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(4112, 5480, F4, 3, 19) (dual of [(5480, 3), 16328, 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.