Accession Number:

AD0640686

Title:

SOME REMARKS ON THE VECTOR SUBSPACES OF A FINITE FIELD,

Descriptive Note:

Corporate Author:

HAWAII UNIV HONOLULU DEPT OF ELECTRICAL ENGINEERING

Personal Author(s):

Report Date:

1966-06-20

Pagination or Media Count:

13.0

Abstract:

Let F be a finite field of elements and E an extension of F of degree n. Consider E as a vector space over F. It is shown that for every subspace V of E there exists a unique polynomial whose roots are the elements of V, and there exists a unique polynomial gX of the same form, but of degree qn-r, such that gE V, where r is the dimension of V. Furthermore fX and gX split completely in E, and fgX gfX Xqn - X. Author

Subject Categories:

  • Cybernetics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE