Information on Result #547694
There is no linear OA(2174, 259, F2, 82) (dual of [259, 85, 83]-code), because construction Y1 would yield
- linear OA(2173, 227, F2, 82) (dual of [227, 54, 83]-code), but
- residual code [i] would yield OA(291, 144, S2, 41), but
- 1 times truncation [i] would yield OA(290, 143, S2, 40), but
- the linear programming bound shows that M ≥ 317300 634780 115553 893444 812307 057689 267816 890368 / 255 074823 257151 213225 > 290 [i]
- 1 times truncation [i] would yield OA(290, 143, S2, 40), but
- residual code [i] would yield OA(291, 144, S2, 41), but
- linear OA(285, 259, F2, 32) (dual of [259, 174, 33]-code), but
- discarding factors / shortening the dual code would yield linear OA(285, 258, F2, 32) (dual of [258, 173, 33]-code), but
- the improved Johnson bound shows that N ≤ 22615 861090 934062 894456 565101 208250 515374 333379 910527 < 2173 [i]
- discarding factors / shortening the dual code would yield linear OA(285, 258, F2, 32) (dual of [258, 173, 33]-code), but
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.