On Skew E-W Matrices
An E–W matrix M is a ( − 1, 1)‐matrix of order 4t+2, where t is a positive integer, satisfying that the absolute value of its determinant attains Ehlich–Wojtas' bound. M is said to be of skew type (or simply skew) if M−I is skew‐symmetric where I is the identity matrix. In this paper, we draw a...
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| Veröffentlicht in: | Journal of combinatorial designs 2016-10, Vol.24 (10), p.461-472 |
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| container_title | Journal of combinatorial designs |
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| creator | Armario, José Andrés Frau, María Dolores |
| description | An E–W matrix M is a ( − 1, 1)‐matrix of order 4t+2, where t is a positive integer, satisfying that the absolute value of its determinant attains Ehlich–Wojtas' bound. M is said to be of skew type (or simply skew) if M−I is skew‐symmetric where I is the identity matrix. In this paper, we draw a parallel between skew E–W matrices and skew Hadamard matrices concerning a question about the maximal determinant. As a consequence, a problem posted on Cameron's website [7] has been partially solved. Finally, codes constructed from skew E–W matrices are presented. A necessary and sufficient condition for these codes to be self‐dual is given, and examples are provided for lengths up to 52. |
| doi_str_mv | 10.1002/jcd.21519 |
| format | Article |
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A necessary and sufficient condition for these codes to be self‐dual is given, and examples are provided for lengths up to 52.</description><subject>maximal determinants</subject><subject>self-dual codes</subject><subject>skew E-W matrices</subject><issn>1063-8539</issn><issn>1520-6610</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp1j01PAjEQQBujiYgeTPwBJJ48FGbabbs9GgQUUQ5-cGy6pU0WELCFIP_e1VVvnmYO783kEXKO0EYA1pm5aZuhQH1AGigYUCkRDqsdJKe54PqYnKQ0AwCtuWyQi_Gy9TT3u1aPTloPdhNL59MpOQp2kfzZz2ySl37vuXtLR-PBXfd6RB1XoGkmbQEgleWa81A4H5wUKJnz0ivJOMKUWxSuYCGXWuVFYQMTwQtVsCloy5vksr67jqv3rU8bM1tt47J6aTBH1CzLpK6oq5pycZVS9MGsY_lm494gmK9oU0Wb7-iK7dTsrlz4_f-gGXZvfg1aG2Xa-I8_w8a5kYorYSaPA5O93iudDbUB_gkHBGO-</recordid><startdate>201610</startdate><enddate>201610</enddate><creator>Armario, José Andrés</creator><creator>Frau, María Dolores</creator><general>Blackwell Publishing Ltd</general><general>Wiley Subscription Services, Inc</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>201610</creationdate><title>On Skew E-W Matrices</title><author>Armario, José Andrés ; Frau, María Dolores</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3709-46ab0067a3933fbcefc65162ce6e762310d3a15cb2f86978bbaf25fe57b2d09a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>maximal determinants</topic><topic>self-dual codes</topic><topic>skew E-W matrices</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Armario, José Andrés</creatorcontrib><creatorcontrib>Frau, María Dolores</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><jtitle>Journal of combinatorial designs</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Armario, José Andrés</au><au>Frau, María Dolores</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On Skew E-W Matrices</atitle><jtitle>Journal of combinatorial designs</jtitle><addtitle>J. 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| subjects | maximal determinants self-dual codes skew E-W matrices |
| title | On Skew E-W Matrices |
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