-Valued Quadratic Forms and Quaternary Sequence Families
نویسنده
چکیده
In this paper, -valued quadratic forms defined on a vector space over are studied. A classification of such forms is established, distinguishing -valued quadratic forms only by their rank and whether the associated bilinear form is alternating. This result is used to compute the distribution of certain exponential sums, which occur frequently in the analysis of quaternary codes and quaternary sequence sets. The concept is applied as follows. When or is odd, the correlation distribution of family , consisting of quaternary sequences of length , is established. Then, motivated by practical considerations, a subset of family is defined, and the correlation distribution of family is given for odd and even .
منابع مشابه
Z4-valued quadratic forms and quaternary sequence families
Z4-valued quadratic forms defined on a vector space over GF(2) are studied. A classification of such forms is established, distinguishing Z4-valued quadratic forms only by their rank and whether the associated bilinear form is alternating or not. This result is used to compute the distribution of certain exponential sums, which occur frequently in the analysis of quaternary codes and quaternary...
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