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Oct 1, 2016 at 10:22 vote accept MR_BD
Sep 26, 2016 at 17:20 answer added Narad Rampersad timeline score: 2
Sep 26, 2016 at 14:39 answer added Fedor Petrov timeline score: 6
Sep 26, 2016 at 14:16 comment added Max Alekseyev This problem is in flavor of Odd/Even-towns discretemath.imp.fu-berlin.de/DMII-2011-12/linalgmethod.pdf
Sep 26, 2016 at 14:06 comment added MR_BD @fedja Thanks for your helpful comment... i did not understand the agument of your last sentence...
Sep 26, 2016 at 12:48 comment added fedja It is certainly exponential in $q$. Indeed, take $Q=3$. Then you can do $2$ strings. Now, for $q=RQ$ with odd $R$, you can choose one of those $2$ strings independently in each $6$-block giving you $2^R=2^{q/3}$ choices. On the other hand, they are exponentially fewer than the total number of strings. I doubt anybody can tell you the exact exponent (so that the example and the upper bound match), but I will be happy to be proved wrong.
Sep 26, 2016 at 9:17 history asked MR_BD CC BY-SA 3.0