Sentence examples for extension fields from inspiring English sources

This work investigates the digit serial polynomial basis multipliers performing multiplication in multiple binary extension fields F2m1,F2m2,…,F2mλ.

Specifically: algebraic curves - other than the projective line - over number fields tend to acquire no new rational points over many extension fields.

For the sake of improving the processing efficiency we improve the BT&ET layout, and migrate some tenants' frequently accessed extension fields into the basic table based on the tenants' constantly need on data access.

Sum and product tables are used to implement the arithmetic of both prime and extension fields with up to 128 elements on a common basis, and these may be viewed to show the field mathematics involved.

This idea already provided practical improvements in several previous works for composite-degree extension fields, but its application to prime-degree extension fields has been more challenging.

Extension fields or GF(q r ) are finite fields with p=q r elements, with q prime and r>1.

Represent the needs of agricultural extension field staff to Cornell Cooperative Extension Administration.

Represent the Agricultural Extension field staff at the state level with organizations such as the NYS Ag Society, NYS Farm Bureau, and the NYS Council of Ag Organizations.

The construction is based on selected cyclotomic cosets of an extension field which are multiplied together to give a set of transformation polynomials.

Our hardware designs are especially tailored for the quadratic extension field F22n, with n= 127, which allows us to attain a security level close to 128 bits.

I regularly participated in Cornell's Tree Fruit and Berry Program Work Team, the coordinating group for all Cornell faculty and Extension field specialists working on tree fruit and small fruit.