Generalized minimum distance functions
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DOI: 10.1007/s10801-018-0855-x
Abstract: Using commutative algebra methods, we study the generalized minimum distance function (gmd function) and the corresponding generalized footprint function of a graded ideal in a polynomial ring over a field. The number of solutions that… read more here.
Keywords: minimum distance; hamming weight; generalized minimum; function ... See more keywords
Notes on generalized Hamming weights of some classes of binary codes
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DOI: 10.1007/s12095-019-00404-3
Abstract: Some classes of binary codes constructed by using some defining sets are studied, and for most defining sets, we will determine the generalized Hamming weight of the corresponding codes completely, and for other defining sets,… read more here.
Keywords: binary codes; classes binary; notes generalized; defining sets ... See more keywords
The Square of Some Generalized Hamming Graphs
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DOI: 10.3390/math11112487
Abstract: In this paper, we study the square of generalized Hamming graphs by the properties of abelian groups, and characterize some isomorphisms between the square of generalized Hamming graphs and the non-complete extended p-sum of complete… read more here.
Keywords: generalized hamming; hamming graphs; square generalized; graphs ... See more keywords