Sentence examples for extension field from inspiring English sources

Let F be an extension field of degree [F: F].

The checksum is put in the extension field to make IP header more flexible for mobility.

Since the RS encoding employs arithmetic in the extension field GF(2 r ) as given by (4), we need r bits to represent the code word ID.

The elements in an extension field GF(2 m ) can be separated to some groups according to the minimal elements over GF(2 m ).

After the code length and synchronization position estimation, the extension field degree m corresponding to the being recognized code can also be obtained.

The name of the abbreviation is defined in lieu of the element symbol, and the structural fragment is defined completely within the extension field.

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.

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

By keeping q=2, the operations in extension fields can be made more simple by transforming the addition and subtraction into bit-by-bit modulo 2 operations.

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.