منابع مشابه
Direct construction of code loops
Code loops were introduced by R. L. Griess. Griess [5] and Hsu [7] gave methods to construct the corresponding code loop from any given doubly even binary code; both these methods used some kind of induction. In this paper, we present a global construction of the loop, where we apply the correspondance between the concepts of Moufang loops and groups with triality.
متن کاملCode Loops in Both Parities
We present equivalent definitions of code loops in any characteristic p 6= 0. The most natural definition is via combinatorial polarization, but we also show how to realize code loops by linear codes and as a class of symplectic conjugacy closed loops. For p odd, it is possible to define code loops via characteristic trilinear forms. Related concepts are discussed.
متن کاملCombinatorial Aspects of Code Loops
The existence and uniqueness (up to equivalence defined below) of code loops was first established by R. Griess in [3]. Nevertheless, the explicit construction of code loops remained open until T.Hsu introduced the notion of symplectic cubic spaces and their Frattini extensions, and pointed out how the construction of code loops followed from the (purely combinatorial) result of O. Chein and E....
متن کاملA-loops close to code loops are groups
Let Q be a diassociative A-loop which is centrally nilpotent of class 2 and which is not a group. Then the factor over the centre cannot be an elementary abelian 2-group.
متن کاملCharacterization of Program Loops in Code Optimization
-Recent work in code optimization has led to development of new unified optimizing transformations[6,7]. Application of these transformations requires solution of bi-directional data flow problems over program flow graphs using iterative solution techniques. Appropriate characterization of program loops in the flow graph is necessary so as (i) not to hinder code movement, etc., and (ii) restric...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1986
ISSN: 0021-8693
DOI: 10.1016/0021-8693(86)90075-x