Information on Result #1288006
Linear OA(243, 68, F2, 16) (dual of [68, 25, 17]-code), using construction Y1 based on
- linear OA(244, 89, F2, 16) (dual of [89, 45, 17]-code), using
- 1 times truncation [i] based on linear OA(245, 90, F2, 17) (dual of [90, 45, 18]-code), using
- extended quadratic residue code Qe(90,2) [i]
- 1 times truncation [i] based on linear OA(245, 90, F2, 17) (dual of [90, 45, 18]-code), using
- nonexistence of OA(245, 89, S2, 21), because
- discarding factors would yield OA(245, 85, S2, 21), but
- 1 times truncation [i] would yield OA(244, 84, S2, 20), but
- the linear programming bound shows that M ≥ 81031 868555 184737 269489 598464 / 4317 046939 428475 > 244 [i]
- 1 times truncation [i] would yield OA(244, 84, S2, 20), but
- discarding factors would yield OA(245, 85, S2, 21), but
Mode: 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.