| Abstract: | A  -sequence is a sequence  of positive integers such that the sums  ,  , are different. When  is a power of a prime and  is a primitive element in  then there are  -sequences  of size  with  , 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 prove that multiplying a sequence  by integers relatively prime to the modulus is equivalent to varying  . Theorem 3.1 is my main result. It contains a fast method to find primitive quadratic polynomials over  when  is an odd prime. For fields of characteristic 2 there is a similar, but different, criterion, which I will consider in ``Primitive quadratics reflected in  -sequences', to appear in Portugaliae Mathematica (1999). |
