Information on Result #1800389
Digital (100, 139, 6573)-net over F9, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9139, 6573, F9, 39) (dual of [6573, 6434, 40]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9138, 6571, F9, 39) (dual of [6571, 6433, 40]-code), using
- construction X applied to C([0,19]) ⊂ C([0,18]) [i] based on
- linear OA(9137, 6562, F9, 39) (dual of [6562, 6425, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(9129, 6562, F9, 37) (dual of [6562, 6433, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 98−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,19]) ⊂ C([0,18]) [i] based on
- linear OA(9138, 6572, F9, 38) (dual of [6572, 6434, 39]-code), using Gilbert–Varšamov bound and bm = 9138 > Vbs−1(k−1) = 304905 315385 322616 904672 978932 697780 044200 163653 553614 103323 164887 182737 445288 031434 195489 338453 263310 427800 833831 693261 861442 595097 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(9138, 6571, F9, 39) (dual of [6571, 6433, 40]-code), using
Mode: 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.