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searching for Factor base 7 found (13 total)

Index calculus algorithm (1,720 words) [view diff] exact match in snippet view article find links to article

{Z} /q\mathbb {Z} )^{*}} where q is prime. It requires a factor base as input. This factor base is usually chosen to be the number −1 and the first r primes

Quadratic sieve (4,487 words) [view diff] exact match in snippet view article find links to article

prime(s) outside the factor base. [Note that this is equivalent to extending the factor base.] For example, if the factor base is {2, 3, 5, 7} and n

Special number field sieve (1,427 words) [view diff] exact match in snippet view article find links to article

respect to the factor base in Z (i.e., it is a product of elements in the factor base). a+bα is smooth with respect to the factor base in Z[α]; given

Function field sieve (2,658 words) [view diff] exact match in snippet view article find links to article

{F} _{p}[x]\mid {\text{ irreductible with }}\deg(g)<B\}} is called the factor base. A pair of functions ( r , s ) {\displaystyle (r,s)} is doubly-smooth

Translational regulation (1,481 words) [view diff] exact match in snippet view article find links to article

within the stop codon by tRNAs that may occasionally outcompete release factor base pairing. An example of regulation at the level of termination is functional

General number field sieve (1,768 words) [view diff] exact match in snippet view article find links to article

lattice sieving; to get acceptable yields, it is necessary to use a large factor base. Having enough such pairs, using Gaussian elimination, one can get products

Load-following power plant (4,011 words) [view diff] no match in snippet view article find links to article

start-up and shut-down, construction cost, cost of electricity and capacity factor. Base load power plants are dispatchable plants that tend to operate at maximum