Information on Result #3260869
Digital (84, 101, 102944)-net over F7, using 71 times duplication based on digital (83, 100, 102944)-net over F7, using
- net defined by OOA [i] based on linear OOA(7100, 102944, F7, 17, 17) (dual of [(102944, 17), 1749948, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(7100, 823553, F7, 17) (dual of [823553, 823453, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(7100, 823559, F7, 17) (dual of [823559, 823459, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- linear OA(799, 823544, F7, 17) (dual of [823544, 823445, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 823544 | 714−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(785, 823544, F7, 15) (dual of [823544, 823459, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 823544 | 714−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(71, 15, F7, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(7100, 823559, F7, 17) (dual of [823559, 823459, 18]-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(7100, 823553, F7, 17) (dual of [823553, 823453, 18]-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.