TY - GEN
T1 - Enumerative encoding in the Grassmannian space
AU - Silberstein, Natalia
AU - Etzion, Tuvi
PY - 2009/12/7
Y1 - 2009/12/7
N2 - Codes in the Grassmannian space have found recently application in network coding. Representation of k- dimensional subspaces of Fqn has generally an essential role in solving coding problems in the Grassmannian, and in particular in encoding subspaces of the Grassmannian. Different representations of subspaces in the Grassmannian are presented. We use two of these representations for enumerative encoding of the Grassmannian. One enumerative encoding is based on Ferrers diagrams representation of subspaces; and another is based on identifying vector and reduced row echelon form representation of subspaces. A third method which combine the previous two is more efficient than the other two enumerative encodings.
AB - Codes in the Grassmannian space have found recently application in network coding. Representation of k- dimensional subspaces of Fqn has generally an essential role in solving coding problems in the Grassmannian, and in particular in encoding subspaces of the Grassmannian. Different representations of subspaces in the Grassmannian are presented. We use two of these representations for enumerative encoding of the Grassmannian. One enumerative encoding is based on Ferrers diagrams representation of subspaces; and another is based on identifying vector and reduced row echelon form representation of subspaces. A third method which combine the previous two is more efficient than the other two enumerative encodings.
UR - https://www.scopus.com/pages/publications/76249132379
U2 - 10.1109/ITW.2009.5351276
DO - 10.1109/ITW.2009.5351276
M3 - Conference contribution
AN - SCOPUS:76249132379
SN - 9781424449835
T3 - 2009 IEEE Information Theory Workshop, ITW 2009
SP - 544
EP - 548
BT - 2009 IEEE Information Theory Workshop, ITW 2009
T2 - 2009 IEEE Information Theory Workshop, ITW 2009
Y2 - 11 October 2009 through 16 October 2009
ER -