Results 1 
3 of
3
Random Number Generators with Period Divisible by a Mersenne Prime
 Proc. ICCSA 2003
, 2003
"... Pseudorandom numbers with long periods and good statistical properties are often required for applications in computational finance. We consider the requirements for good uniform random number generators, and describe a class of generators whose period is a Mersenne prime or a small multiple of ..."
Abstract

Cited by 14 (5 self)
 Add to MetaCart
Pseudorandom numbers with long periods and good statistical properties are often required for applications in computational finance. We consider the requirements for good uniform random number generators, and describe a class of generators whose period is a Mersenne prime or a small multiple of a Mersenne prime. These generators are based on "almost primitive" trinomials, that is trinomials having a large primitive factor. They enable very fast vector/parallel implementations with excellent statistical properties.
A Primitive Trinomial of Degree 6972593
 Mathematics of Computation
, 2003
"... We describe a search for primitive trinomials of degree 6972593 over GF(2). The only primitive trinomials found were x + 1 and its reciprocal. This completes the search for primitive trinomials whose degree is a Mersenne exponent less than ten million. ..."
Abstract

Cited by 13 (9 self)
 Add to MetaCart
We describe a search for primitive trinomials of degree 6972593 over GF(2). The only primitive trinomials found were x + 1 and its reciprocal. This completes the search for primitive trinomials whose degree is a Mersenne exponent less than ten million.