Index
Abelian group , 135
absolute trac e function , 15
adjoining elements , 6 , 144
Advanced Encryptio n Standar d
(AES), 11 2
efficiency, 11 9
affine geometry , 66 , 78 , 160
affine plane , 60 , 7 7
affine space , 5 9
algebraic extension , 8 , 9
annihilates, 2 3
Artin's lemma , 23 , 141
Assmus, E . F. , Jr. , 104
automorphism, 14, 29 , 141
balanced incomplet e bloc k design ,
67
basis
complementary, 2 2
dual, 22 , 149
finite field, 19
normal, 20 , 2 3
polynomial, 19
primitive normal , 2 5
self-dual normal , 25 , 4 0
vector space , 148
BCH code , 9 7
designed distance , 9 7
Betti-Mathieu group , 4 1
BIBD, see balance d incomplet e
block desig n
Bose, Ra j Chandra , 4 7
Cayley table , 44 , 77 , 159
character o f a group , 7 2
quadratic, 7 3
characteristic (ring) , 2 , 138
characteristic polynomial , 16, 2 3
Chinese remainde r theorem , 150
ciphertext, 110
closed binar y operation , 135
code, 80 , see also error-correctin g
code
BCH, see BC H cod e
const ant-weight, 102
cyclic, 9 5
decoding methods , 9 1
dual, 101
equivalent, 9 6
Golay, see Gola y cod e
Goppa, 9 8
Hamming, see Hammin g cod e
linear, 8 2
narrow-sense, 9 7
parity-check, 8 2
perfect, 89 , 102
primitive, 9 7
rate, 8 7
Reed-Solomon, 9 7
171
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