Number of Zeros of Sample Clauses

Number of Zeros of a Quadratic Form‌ From here on, we assume that K = F is a finite field of size q. In this section we compute the number of zeros in V of the quadratic form Q, as a function of the dimension k of V , the rank r of Q and the cardinality q of the base field. Even though the definition of rank is essentially dependent on char F, the formula we give is characteristic-free.
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