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Hua Sun and Chao Tian
The capacity of private information retrieval (PIR) from databases coded using maximum distance separable (MDS) codes was previously characterized by Banawan and Ulukus, where it was assumed that the messages are encoded and stored separably in the datab...
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Jin-Bo Wang, You Wu and Yu Zhou
Maximum distance separable (MDS) codes have the maximum branch number in cryptography, and they are generally used in diffusion layers of symmetric ciphers. The diffusion layer of the Advanced Encryption Standard (AES) uses the circulant MDS matrix with ...
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Sunghyu Han
In this study, we explore maximum distance separable (MDS) self-dual codes over Galois rings
G
R
(
p
m
,
r
)
G
R
(
p
m
,
r
)
with
p
=
-
1
(
mod
4
)
p
=
-
1
(
mod
4
)
and odd r. Using the building-up construction, we construct MDS self-dual codes of l...
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