Information on Result #593529
There is no linear OOA(2225, 348, F2, 6, 99) (dual of [(348, 6), 1863, 100]-NRT-code), because 4 times depth reduction would yield linear OOA(2225, 348, F2, 2, 99) (dual of [(348, 2), 471, 100]-NRT-code), but
- 1 step m-reduction [i] would yield linear OA(2224, 348, F2, 98) (dual of [348, 124, 99]-code), but
- construction Y1 [i] would yield
- OA(2223, 300, S2, 98), but
- the linear programming bound shows that M ≥ 1 797227 776840 883681 896516 291018 079602 556004 736527 384481 376471 307374 972535 986485 205069 933364 379648 / 112622 624143 760877 566730 935625 > 2223 [i]
- linear OA(2124, 348, F2, 48) (dual of [348, 224, 49]-code), but
- discarding factors / shortening the dual code would yield linear OA(2124, 332, F2, 48) (dual of [332, 208, 49]-code), but
- the improved Johnson bound shows that N ≤ 1985 666223 770950 387579 854572 849250 190195 414082 522040 623254 891664 < 2208 [i]
- discarding factors / shortening the dual code would yield linear OA(2124, 332, F2, 48) (dual of [332, 208, 49]-code), but
- OA(2223, 300, S2, 98), but
- construction Y1 [i] would yield
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.