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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
8
votes
Accepted
primitive polynomial in $F_2$
See http://oeis.org/A073639 for the list of n such that x^n+x+1 is primitive modulo 2.
The sequence begins [2,3,4,6,7,15,22,60,63,127,153,471,532,865,900,1366]
You will also find some pertinent refere …
5
votes
Accepted
How few $k$-dimensional subspaces of $V$ are enough to have a complement to each $n-k$-dimen...
See these papers:
Covering by Complements of Subspaces, II., W. Edwin Clark and Boris Shekhtman, Proc. Amer. Math. Soc.125 (1997), no. 1, 251--254. (link here, unrestriced access; MR review)
Coverin …