Information on Result #1200224
Digital (9, 14, 58828)-net over F49, using net defined by OOA based on linear OOA(4914, 58828, F49, 5, 5) (dual of [(58828, 5), 294126, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(4914, 117657, F49, 5) (dual of [117657, 117643, 6]-code), using
- construction X applied to C([0,2]) ⊂ C([0,1]) [i] based on
- linear OA(4913, 117650, F49, 5) (dual of [117650, 117637, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(497, 117650, F49, 3) (dual of [117650, 117643, 4]-code or 117650-cap in PG(6,49)), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,1], and minimum distance d ≥ |{−1,0,1}|+1 = 4 (BCH-bound) [i]
- linear OA(491, 7, F49, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,2]) ⊂ C([0,1]) [i] based on
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.