{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,22]],"date-time":"2023-10-22T06:41:01Z","timestamp":1697956861095},"reference-count":9,"publisher":"Wiley","issue":"7","license":[{"start":{"date-parts":[[2007,3,21]],"date-time":"2007-03-21T00:00:00Z","timestamp":1174435200000},"content-version":"vor","delay-in-days":7384,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Systems &amp; Computers in Japan"],"published-print":{"date-parts":[[1987,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The cyclic ST\u2010AN code is a cyclic AN code based on a ternary number system using numerals \u20101, 0, 1 (called symmetrical ternary number system). It is suited to the arithmetic operations handling positive and negative numbers in a symmetrical way as well as to the error\u2010correction. We have already presented some reports on the basic concept of the code and the error\u2010correcting ability for the random error. This paper proposes the cyclic ST\u2010AN code which can correct the burst error. The code is generated by the code generator <jats:italic>A<\/jats:italic> = (3<jats:sup>c<\/jats:sup> \u2010 1) <jats:italic>A<\/jats:italic><jats:sub>2<\/jats:sub>, and is an extension of the algebraic Fire code. Because of this property, it has the features that the construction is very simple and the selection of the code is easy. A satisfactory result is also obtained for the code efficiency. This paper describes first the outline of the cyclic ST\u2010AN code and the concepts of arithmetic burst. Then it discusses the construction of the cyclic ST\u2010AN Fire\u2010type code and its error\u2010correcting ability. Finally, the decoding method is presented which uses the error\u2010trapping.<\/jats:p>","DOI":"10.1002\/scj.4690180706","type":"journal-article","created":{"date-parts":[[2007,7,7]],"date-time":"2007-07-07T14:18:43Z","timestamp":1183817923000},"page":"57-68","source":"Crossref","is-referenced-by-count":1,"title":["Arithmetic burst error correcting fire\u2010type cyclic ST\u2010AN codes"],"prefix":"10.1002","volume":"18","author":[{"given":"Ryosaku","family":"Shimada","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ryutaro","family":"Murakami","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kazuharu","family":"Sono","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yoshiteru","family":"Ohkura","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2007,3,21]]},"reference":[{"key":"e_1_2_1_2_2","volume-title":"Error Correcting Codes","author":"Peterson W. W.","year":"1972"},{"key":"e_1_2_1_3_2","series-title":"Electrical and Electronic Eng. Series 40","volume-title":"Arithmetic coding theory","author":"Fukumura A.","year":"1978"},{"issue":"11","key":"e_1_2_1_4_2","first-page":"1358","article-title":"Fundamental concept of cyclic ST\u2010AN code","volume":"65","author":"Okura Shimada","year":"1982","journal-title":"Trans. (D), I.E.C.E., Japan"},{"issue":"12","key":"e_1_2_1_5_2","first-page":"1339","article-title":"HH\u2010type cyclic ST\u2010AN codes","volume":"66","author":"Shimada Yamamoto","year":"1983","journal-title":"Trans. (D), I.E.C.E., Japan"},{"key":"e_1_2_1_6_2","series-title":"Inf. Eng. Ser. 4","volume-title":"Coding theory","author":"Kasami T.","year":"1975"},{"key":"e_1_2_1_7_2","series-title":"Basic Computer Ser. 18","volume-title":"Coding theory","author":"Miyakawa H.","year":"1976"},{"key":"e_1_2_1_8_2","doi-asserted-by":"crossref","DOI":"10.1109\/TIT.1964.1053662","article-title":"On Linear Residue Codes for Burst\u2010Error\u2010Correction","volume":"10","author":"Chien R. T.","year":"1964","journal-title":"I.E.E.E. Trans. Inf. Theory"},{"issue":"6","key":"e_1_2_1_9_2","first-page":"1218","article-title":"Majority\u2010decodable cyclic ST\u2010AN codes","volume":"68","author":"Shimada Okura","year":"1985","journal-title":"Trans. (D), I.E.C.E., Japan"},{"issue":"11","key":"e_1_2_1_10_2","first-page":"2101","article-title":"Some construction methods of burst\u2010error\u2010correcting AN codes","volume":"50","author":"Goto","year":"1967","journal-title":"Proc. I.E.C.E., Japan"}],"container-title":["Systems and Computers in Japan"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fscj.4690180706","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/scj.4690180706","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,21]],"date-time":"2023-10-21T03:28:55Z","timestamp":1697858935000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/scj.4690180706"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1987,1]]},"references-count":9,"journal-issue":{"issue":"7","published-print":{"date-parts":[[1987,1]]}},"alternative-id":["10.1002\/scj.4690180706"],"URL":"https:\/\/doi.org\/10.1002\/scj.4690180706","archive":["Portico"],"relation":{},"ISSN":["0882-1666","1520-684X"],"issn-type":[{"value":"0882-1666","type":"print"},{"value":"1520-684X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1987,1]]}}}