Title :
Gray Code for Row-Reduced Echelon Forms Over the Binary Field
Author_Institution :
Univ. of Appl. Sci. Darmstadt, Darmstadt, Germany
Abstract :
We visit generator matrices A0,A1,A2,··· of all k-dimensional subspaces of the n-dimensional vector space over the field with two elements such that two consecutive matrices Ai and Ai+1 differ in exactly one bit.
Keywords :
Gray codes; binary field; generator matrices; gray code; k-dimensional subspaces; n-dimensional vector space over; row-reduced echelon forms; Complexity theory; Equations; Generators; Hamming distance; Reflective binary codes; Silicon; Vectors; Graßmannian; Gra??mannian; Gray code; Row reduced Echelon forms; enumerative encoding; gray code; minimal change sequence;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2014.2375171
