New classes of entanglement-assisted quantum MDS codes
In this paper, two new classes of entanglement-assisted quantum MDS codes (EAQMDS codes for short) with length n being a factor of q 2 ± 1 are presented via cyclic codes over finite fields of odd characteristic. Among our constructions, there are several EAQMDS codes with new parameters which have n...
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| Veröffentlicht in: | Quantum information processing 2020, Vol.19 (9), Article 289 |
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| container_title | Quantum information processing |
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| creator | Jin, Renjie Xie, Derong Luo, Jinquan |
| description | In this paper, two new classes of entanglement-assisted quantum MDS codes (EAQMDS codes for short) with length
n
being a factor of
q
2
±
1
are presented via cyclic codes over finite fields of odd characteristic. Among our constructions, there are several EAQMDS codes with new parameters which have never been reported. Moreover, some of them have much larger minimum distance than known results. |
| doi_str_mv | 10.1007/s11128-020-02771-w |
| format | Article |
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n
being a factor of
q
2
±
1
are presented via cyclic codes over finite fields of odd characteristic. Among our constructions, there are several EAQMDS codes with new parameters which have never been reported. Moreover, some of them have much larger minimum distance than known results.</description><identifier>ISSN: 1570-0755</identifier><identifier>EISSN: 1573-1332</identifier><identifier>DOI: 10.1007/s11128-020-02771-w</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Binary system ; Codes ; Data Structures and Information Theory ; Entanglement ; Fields (mathematics) ; Mathematical Physics ; Physics ; Physics and Astronomy ; Quantum Computing ; Quantum Information Technology ; Quantum Physics ; Spintronics</subject><ispartof>Quantum information processing, 2020, Vol.19 (9), Article 289</ispartof><rights>Springer Science+Business Media, LLC, part of Springer Nature 2020</rights><rights>Springer Science+Business Media, LLC, part of Springer Nature 2020.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-d9a93dcef5efd4b7942f87d21936e163906d6c9e0c7c75a094bc70b315d9d373</citedby><cites>FETCH-LOGICAL-c319t-d9a93dcef5efd4b7942f87d21936e163906d6c9e0c7c75a094bc70b315d9d373</cites><orcidid>0000-0002-6703-7241</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11128-020-02771-w$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11128-020-02771-w$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Jin, Renjie</creatorcontrib><creatorcontrib>Xie, Derong</creatorcontrib><creatorcontrib>Luo, Jinquan</creatorcontrib><title>New classes of entanglement-assisted quantum MDS codes</title><title>Quantum information processing</title><addtitle>Quantum Inf Process</addtitle><description>In this paper, two new classes of entanglement-assisted quantum MDS codes (EAQMDS codes for short) with length
n
being a factor of
q
2
±
1
are presented via cyclic codes over finite fields of odd characteristic. Among our constructions, there are several EAQMDS codes with new parameters which have never been reported. Moreover, some of them have much larger minimum distance than known results.</description><subject>Binary system</subject><subject>Codes</subject><subject>Data Structures and Information Theory</subject><subject>Entanglement</subject><subject>Fields (mathematics)</subject><subject>Mathematical Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Computing</subject><subject>Quantum Information Technology</subject><subject>Quantum Physics</subject><subject>Spintronics</subject><issn>1570-0755</issn><issn>1573-1332</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kE9PwzAMxSMEEmPwBThV4hywkzZpjmj8lQYc2D3qEnfatLVb0qri2xNWJG4cLFv2e8_Sj7FrhFsE0HcREUXJQUAqrZEPJ2yChZYcpRSnxzmddFGcs4sYNwACVakmTL3TkLltFSPFrK0zarqqWW1plwaetuvYkc8OfdV0_S57e_jMXOspXrKzutpGuvrtU7Z4elzMXvj84_l1dj_nTqLpuDeVkd5RXVDt86U2uahL7QUaqQiVNKC8cobAaaeLCky-dBqWEgtvvNRyym7G2H1oDz3Fzm7aPjTpoxW5VKWRGiCpxKhyoY0xUG33Yb2rwpdFsD947IjHJjz2iMcOySRHU0ziZkXhL_of1zfFzGee</recordid><startdate>2020</startdate><enddate>2020</enddate><creator>Jin, Renjie</creator><creator>Xie, Derong</creator><creator>Luo, Jinquan</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-6703-7241</orcidid></search><sort><creationdate>2020</creationdate><title>New classes of entanglement-assisted quantum MDS codes</title><author>Jin, Renjie ; Xie, Derong ; Luo, Jinquan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-d9a93dcef5efd4b7942f87d21936e163906d6c9e0c7c75a094bc70b315d9d373</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Binary system</topic><topic>Codes</topic><topic>Data Structures and Information Theory</topic><topic>Entanglement</topic><topic>Fields (mathematics)</topic><topic>Mathematical Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Computing</topic><topic>Quantum Information Technology</topic><topic>Quantum Physics</topic><topic>Spintronics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jin, Renjie</creatorcontrib><creatorcontrib>Xie, Derong</creatorcontrib><creatorcontrib>Luo, Jinquan</creatorcontrib><collection>CrossRef</collection><jtitle>Quantum information processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Jin, Renjie</au><au>Xie, Derong</au><au>Luo, Jinquan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>New classes of entanglement-assisted quantum MDS codes</atitle><jtitle>Quantum information processing</jtitle><stitle>Quantum Inf Process</stitle><date>2020</date><risdate>2020</risdate><volume>19</volume><issue>9</issue><artnum>289</artnum><issn>1570-0755</issn><eissn>1573-1332</eissn><abstract>In this paper, two new classes of entanglement-assisted quantum MDS codes (EAQMDS codes for short) with length
n
being a factor of
q
2
±
1
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| ispartof | Quantum information processing, 2020, Vol.19 (9), Article 289 |
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| subjects | Binary system Codes Data Structures and Information Theory Entanglement Fields (mathematics) Mathematical Physics Physics Physics and Astronomy Quantum Computing Quantum Information Technology Quantum Physics Spintronics |
| title | New classes of entanglement-assisted quantum MDS codes |
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