ON THE ALGEBRAIC PARAMETERS OF CONVOLUTIONAL CODES WITH CYCLIC STRUCTURE
2006 ◽
Vol 05
(01)
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pp. 53-76
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Keyword(s):
In this paper convolutional codes with cyclic structure will be investigated. These codes can be understood as left principal ideals in a suitable skew-polynomial ring. It has been shown in [4] that only certain combinations of the algebraic parameters (field size, length, dimension, and Forney indices) can occur for such cyclic codes. We will investigate whether all these combinations can indeed be realized by a suitable cyclic code and, if so, how to construct such a code. A complete characterization and construction will be given for minimal cyclic codes. It is derived from a detailed investigation of the units in the skew-polynomial ring.
Keyword(s):
2014 ◽
Vol 57
(3)
◽
pp. 609-613
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2002 ◽
Vol 67
(3)
◽
pp. 997-1015
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Keyword(s):
2015 ◽
Vol 14
(05)
◽
pp. 1550064
2012 ◽
Vol 140
(5)
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pp. 1473-1481
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Keyword(s):
1985 ◽
Vol 38
(2)
◽
pp. 275-280
Keyword(s):
2017 ◽
Vol 102
(6)
◽
pp. 1243-1249
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2017 ◽
Vol 102
(10)
◽
pp. 2189-2198
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