Dergi makalesi Açık Erişim
Alahmadi, Adel; Guneri, Cem; Ozkaya, Buket; Shoaib, Hatoon; Sole, Patrick
<?xml version='1.0' encoding='UTF-8'?> <record xmlns="http://www.loc.gov/MARC21/slim"> <leader>00000nam##2200000uu#4500</leader> <datafield tag="245" ind1=" " ind2=" "> <subfield code="a">On complementary dual multinegacirculant codes</subfield> </datafield> <datafield tag="909" ind1="C" ind2="4"> <subfield code="p">CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES</subfield> <subfield code="v">12</subfield> <subfield code="n">1</subfield> <subfield code="c">101-113</subfield> </datafield> <controlfield tag="001">9165</controlfield> <datafield tag="980" ind1=" " ind2=" "> <subfield code="a">user-tubitak-destekli-proje-yayinlari</subfield> </datafield> <datafield tag="520" ind1=" " ind2=" "> <subfield code="a">Linear codes with complementary duals intersect with their duals trivially. Multinegacirculant codes that are complementary dual are characterized algebraically and some good codes are found in this family. Exact enumeration is performed for indices 2 and 3, whereas special choices of the co-index and base field size are needed for higher indices. Asymptotic existence results are derived for the special class of such codes that have co-index a power of two by means of Dickson polynomials. This shows that there are infinite families of complementary dual multinegacirculant codes with relative distance satisfying a modified Gilbert-Varshamov bound.</subfield> </datafield> <datafield tag="650" ind1="1" ind2="7"> <subfield code="2">opendefinition.org</subfield> <subfield code="a">cc-by</subfield> </datafield> <datafield tag="700" ind1=" " ind2=" "> <subfield code="u">Sabanci Univ, FENS, TR-34956 Istanbul, Turkey</subfield> <subfield code="a">Guneri, Cem</subfield> </datafield> <datafield tag="700" ind1=" " ind2=" "> <subfield code="u">Nanyang Technol Univ, Sch Phys & Math Sci, 21 Nanyang Link, Singapore 637371, Singapore</subfield> <subfield code="a">Ozkaya, Buket</subfield> </datafield> <datafield tag="700" ind1=" " ind2=" "> <subfield code="u">King Abdulaziz Univ, Math Dept, Jeddah, Saudi Arabia</subfield> <subfield code="a">Shoaib, Hatoon</subfield> </datafield> <datafield tag="700" ind1=" " ind2=" "> <subfield code="u">Aix Marseille Univ, CNRS, Cent Marseille, I2M, Marseille, France</subfield> <subfield code="a">Sole, Patrick</subfield> </datafield> <datafield tag="980" ind1=" " ind2=" "> <subfield code="b">article</subfield> <subfield code="a">publication</subfield> </datafield> <datafield tag="542" ind1=" " ind2=" "> <subfield code="l">open</subfield> </datafield> <datafield tag="100" ind1=" " ind2=" "> <subfield code="u">King Abdulaziz Univ, Math Dept, Jeddah, Saudi Arabia</subfield> <subfield code="a">Alahmadi, Adel</subfield> </datafield> <datafield tag="260" ind1=" " ind2=" "> <subfield code="c">2020-01-01</subfield> </datafield> <controlfield tag="005">20210315070925.0</controlfield> <datafield tag="909" ind1="C" ind2="O"> <subfield code="o">oai:zenodo.org:9165</subfield> <subfield code="p">user-tubitak-destekli-proje-yayinlari</subfield> </datafield> <datafield tag="856" ind1="4" ind2=" "> <subfield code="z">md5:ad7af605e41e10fa530397a906876124</subfield> <subfield code="s">216</subfield> <subfield code="u">https://aperta.ulakbim.gov.trrecord/9165/files/bib-dfc3bde0-ea82-43f8-a264-fd77160b27d6.txt</subfield> </datafield> <datafield tag="540" ind1=" " ind2=" "> <subfield code="u">http://www.opendefinition.org/licenses/cc-by</subfield> <subfield code="a">Creative Commons Attribution</subfield> </datafield> <datafield tag="024" ind1=" " ind2=" "> <subfield code="a">10.1007/s12095-019-00364-8</subfield> <subfield code="2">doi</subfield> </datafield> </record>
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