4,339 research outputs found
Constacyclic Codes over Finite Fields
An equivalence relation called isometry is introduced to classify
constacyclic codes over a finite field; the polynomial generators of
constacyclic codes of length are characterized, where is the
characteristic of the finite field and is a prime different from
Polyadic Constacyclic Codes
For any given positive integer , a necessary and sufficient condition for
the existence of Type I -adic constacyclic codes is given. Further, for any
given integer , a necessary and sufficient condition for to be a
multiplier of a Type I polyadic constacyclic code is given. As an application,
some optimal codes from Type I polyadic constacyclic codes, including
generalized Reed-Solomon codes and alternant MDS codes, are constructed.Comment: We provide complete solutions on two basic questions on polyadic
constacyclic cdes, and construct some optimal codes from the polyadic
constacyclic cde
Solar modulation of cosmic ray intensity and solar flare events inferred from (14)C contents in dated tree rings
The delta 14C values in 42 rings of a white spruce grown in Mackenzie Delta was measured as a continuing effort of tracing the history of solar modulation of cosmic ray intensity. The delta 14C values in six rings were measured, in search of a 14C increase due to two large solar flares that occurred in 1942. The results are presented
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