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- Dean Crnkovic
- Des. Codes Cryptography
- 2006

Let p and 2p − 1 be prime powers and p ≡ 3 (mod 4). Then there exists a symmetric design with parameters (4p, 2p − p, p − p). Thus there exists a regular Hadamard matrix of order 4p. AMS classification numbers: 05B20, 05B05

- Dean Crnkovic
- Discrete Mathematics
- 2014

- Dean Crnkovic, Mario-Osvin Pavcevic
- Discrete Mathematics
- 2001

Fortysix mutually nonisomorphic symmetric (64,28,12)-designs have been constructed by means of tactical decompositions. They all admit an action of the nonabelian group of order 21. The computation of their full automorphism groups as well as their derived (28,12,11)-designs proves that none of them can be isomorphic to any of the known (64,28,12)-designs.… (More)

We study binary linear codes constructed from fifty-four Hadamard 2-(71, 35, 17) designs. The constructed codes are self-dual, doubly-even and self-complementary. Since most of these codes have large automorphism groups, they are suitable for permutation decoding. Therefore we study PD-sets of the obtained codes. We also discuss the errorcorrecting… (More)

- Dean Crnkovic, Vedrana Mikulic Crnkovic
- Ars Comb.
- 2013

- Dean Crnkovic, Vedrana Mikulic Crnkovic, Bernardo Gabriel Rodrigues
- Information Security, Coding Theory and Related…
- 2011

- Dean Crnkovic
- Finite Fields and Their Applications
- 2007

- Dean Crnkovic
- Discrete Mathematics
- 2009

- Dean Crnkovic
- 2006

Up to isomorphism there are four symmetric (36,15,6) designs with automorphisms of order 7. Full automorphism group of one of them is the Chevalley group G(2, 2) ~ U(3,3) : Z2 of order 12096. Unitary group U(3,3) acts transitively on that design.

- Dean Crnkovic, Marija Maksimovic, Bernardo Gabriel Rodrigues, Sanja Rukavina
- Adv. in Math. of Comm.
- 2016