A combinatorial partition of Mersenne numbers arising from spectroscopy
نویسندگان
چکیده
منابع مشابه
Generalised Mersenne Numbers Revisited
Generalised Mersenne Numbers (GMNs) were defined by Solinas in 1999 and feature in the NIST (FIPS 186-2) and SECG standards for use in elliptic curve cryptography. Their form is such that modular reduction is extremely efficient, thus making them an attractive choice for modular multiplication implementation. However, the issue of residue multiplication efficiency seems to have been overlooked....
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Let α = (α1, α2, · · · , αm) ∈ R>0. Let αi,j be the vector obtained from α by deleting the entries αi and αj . Besser and Moree [1] introduced some invariants and near invariants related to the solutions ∈ {±1}m−2 of the linear inequality |αi −αj | < 〈 , αi,j〉 < αi +αj , where 〈, 〉 denotes the usual inner product and αi,j the vector obtained from α by deleting αi and αj . The main result of Bes...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2012
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2012.04.009