Finding finite $B_2$-sequences faster

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چکیده

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Finding finite B2-sequences faster

A B2-sequence is a sequence a1 < a2 < · · · < ar of positive integers such that the sums ai + aj , 1 ≤ i ≤ j ≤ r, are different. When q is a power of a prime and θ is a primitive element in GF (q2) then there are B2-sequences A(q, θ) of size q with aq < q2, which were discovered by R. C. Bose and S. Chowla. In Theorem 2.1 I will give a faster alternative to the definition. In Theorem 2.2 I will...

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ژورنال

عنوان ژورنال: Mathematics of Computation

سال: 1998

ISSN: 0025-5718

DOI: 10.1090/s0025-5718-98-00986-7