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Cycle indicators of linear groups and enumeration of linear codes. (Zyklenzeiger linearer Gruppen und Abzählung linearer Codes.) (German) Zbl 0854.20056

Summary: Algorithms for computing the cycle indicator polynomials of the natural actions of linear and projective groups are presented and, as an application, the number of isometry-classes of linear codes is derived.

MSC:

20G05 Representation theory for linear algebraic groups
94B05 Linear codes (general theory)
05E20 Group actions on designs, etc. (MSC2000)
20G40 Linear algebraic groups over finite fields
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