Abstract
The distribution of coefficients of irreducible polynomials over GF(2) has long been a subject of interest for coding theorists and researchers in related fields. In this paper, we prove that the only affine relations holding on these coefficients are essentially trivial. We also give an extension of this result to arbitrary finite fields GF(q), where “affine” is replaced by “degree at most q-1”.
To Sol Golomb on his 80th birthday.
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Dorsey, T.J., Hales, A.W. (2012). Irreducible Coefficient Relations. In: Helleseth, T., Jedwab, J. (eds) Sequences and Their Applications – SETA 2012. SETA 2012. Lecture Notes in Computer Science, vol 7280. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30615-0_11
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DOI: https://doi.org/10.1007/978-3-642-30615-0_11
Publisher Name: Springer, Berlin, Heidelberg
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