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Characterization and synthesis of self-complementary normal bases in finite fields

✍ Scribed by Abraham Lempel

Book ID
107825234
Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
746 KB
Volume
98
Category
Article
ISSN
0024-3795

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## Let % O L denote the "nite "eld with qL elements, for q a prime power. % O L may be regarded as an n-dimensional vector space over % O . 3% O L generates a normal basis for this vector space (% O L :% O ), if + , O, q , 2 , O L\ , are linearly independent over % O . Let N O (n) denote the numbe

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A characterization of normal bases and complete normal bases in GF(q r n ) over GF(q), where q ΟΎ 1 is any prime power, r is any prime number different from the characteristic of GF(q), and n Υ† 1 is any integer, leads to a general construction scheme of series (v n ) nΥ†0 in GF(q r ȍ ) :Ο­ ʜ nΥ†0 GF(q r