{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T12:57:17Z","timestamp":1772283437401,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":25,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540429111","type":"print"},{"value":"9783540456247","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2001]]},"DOI":"10.1007\/3-540-45624-4_2","type":"book-chapter","created":{"date-parts":[[2007,6,2]],"date-time":"2007-06-02T19:23:35Z","timestamp":1180812215000},"page":"13-21","source":"Crossref","is-referenced-by-count":1,"title":["Self-dual Codes-Theme and Variations"],"prefix":"10.1007","author":[{"given":"Vera","family":"Pless","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2001,10,31]]},"reference":[{"key":"2_CR1","unstructured":"Bachoc, C.: On harmonic weight enumerators of binary codes. DESI (1999) 11\u201328."},{"key":"2_CR2","doi-asserted-by":"publisher","first-page":"1369","DOI":"10.1109\/18.681315","volume":"IT-44","author":"A.R. Calderbank","year":"1998","unstructured":"Calderbank, A.R., Rains, E.M., Shor, P.W., Sloane, N.J.A.: Quantum error correctionvia codes over GF(4). IEEE Trans. Inform. Th. IT-44 (1998) 1369\u20131387.","journal-title":"IEEE Trans. Inform. Th."},{"key":"2_CR3","first-page":"26","volume":"28","author":"J.H. Conway","year":"1980","unstructured":"Conway, J.H., Pless, V.: An enumeration of self-dual codes. JCT(A) 28 (1980)26\u201353.","journal-title":"JCT(A)"},{"key":"2_CR4","doi-asserted-by":"publisher","first-page":"312","DOI":"10.1109\/TIT.1979.1056047","volume":"IT-25","author":"J.H. Conway","year":"1979","unstructured":"Conway, J.H., Pless, V., Sloane, N.J.A.: Self-dual codes over GF(3) and GF(4) oflength not exceeding 16. IEEE Trans. Inform. Th. IT-25 (1979) 312\u2013322.","journal-title":"IEEE Trans. Inform. Th."},{"key":"2_CR5","doi-asserted-by":"publisher","first-page":"1319","DOI":"10.1109\/18.59931","volume":"IT-36","author":"J.H. Conway","year":"1990","unstructured":"Conway, J.H., Sloane, N.J.A.: A new upper bound on the minimum distance ofself-dual codes.IEEE Trans. Inform. Th. IT-36 (1990) 1319\u20131333.","journal-title":"IEEE Trans. Inform. Th."},{"key":"2_CR6","first-page":"31","volume":"62","author":"J.H. Conway","year":"1993","unstructured":"Conway, J.H., Sloane, N.J.A.: Self-dual codes over the integers modulo 4. JCT(A)62 (1993) 31\u201345.","journal-title":"JCT(A)"},{"key":"2_CR7","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1109\/18.651058","volume":"44","author":"J.E. Fields","year":"1998","unstructured":"Fields, J.E., Gaborit, P., Huffman, W.C., Pless, V.: All Self-Dual Z4 Codes ofLength 15 or Less are Known. IEEE Trans. Inform. Th.44 (1998) 311\u2013322.","journal-title":"IEEE Trans. Inform. Th."},{"key":"2_CR8","unstructured":"Fields, J.E., Gaborit, P., Huffman, W.C., Pless, V.: On the classification of formallyself-dual codes. Proceedings of thirty-sixth Allerton Conference, UIUC, (1998) 566\u2013575."},{"key":"2_CR9","first-page":"125","volume":"18","author":"J.E. Fields","year":"1999","unstructured":"Fields, J.E., Gaborit, P., Huffman, W.C., Pless, V.: On the classification of extremal,even formally self-dual codes. DESI 18 (1999) 125\u2013148.","journal-title":"DESI"},{"key":"2_CR10","unstructured":"Fields, J.E., Gaborit, P., Huffman, W.C., Pless, V.: On the classification of extremal,even, formally self-dual codes of lengths 20 and 22 (preprint)."},{"key":"2_CR11","doi-asserted-by":"publisher","first-page":"1222","DOI":"10.1109\/18.508845","volume":"42","author":"P. Gaborit","year":"1996","unstructured":"Gaborit, P.: Mass formulas for self-dual codes over Z4 and Fq + uFq rings.IEEETrans. Inform. Th.42(1996) 1222\u20131228.","journal-title":"IEEETrans. Inform. Th."},{"key":"2_CR12","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1090\/dimacs\/056\/12","volume":"56","author":"P. Gaborit","year":"2001","unstructured":"Gaborit, P., Huffman, W.C., Kim, J.L., Pless, V.: On Additive GF(4) Codes.DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 56(2001) 135\u2013149.","journal-title":"DIMACS Series in Discrete Mathematics and Theoretical Computer Science"},{"key":"2_CR13","unstructured":"Hohn, G.: Self-dual codes over Kleinian four group. (preprint) 1996."},{"key":"2_CR14","first-page":"25","volume":"11","author":"T.A. Gulliver","year":"1997","unstructured":"Gulliver, T.A., Harada, M.: Classification of extremal double circulant formallyself-dual even codes. DESI 11 (1997) 25\u201335.","journal-title":"DESI"},{"key":"2_CR15","first-page":"43","volume":"4","author":"G.T. Kennedy","year":"1994","unstructured":"Kennedy, G.T., Pless, V.: On designs and formally self-dual codes. DESI 4 (1994)43\u201355.","journal-title":"DESI"},{"key":"2_CR16","first-page":"215","volume":"5","author":"V. Pless","year":"1968","unstructured":"Pless, V.: On the uniqueness of the Golay codes. JCT(A) 5 (1968) 215\u2013228.","journal-title":"JCT(A)"},{"key":"2_CR17","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1016\/0012-365X(72)90034-9","volume":"3","author":"V. Pless","year":"1972","unstructured":"Pless, V.: A classification of self-orthogonal codes over GF(2). Discrete Math. 3(1972) 209\u2013246.","journal-title":"Discrete Math."},{"key":"2_CR18","doi-asserted-by":"crossref","DOI":"10.1002\/9781118032749","volume-title":"Introduction to the Theory of Error Correcting Codes","author":"V. Pless","year":"1998","unstructured":"Pless, V.: Introduction to the Theory of Error Correcting Codes, third edition,New York, Wiley, 1998.","edition":"third edition"},{"key":"2_CR19","first-page":"32","volume":"78","author":"V. Pless","year":"1997","unstructured":"Pless, V., Leon, J.S., Fields, J.: All Z\n                           4 Codes of Type II and Length 16 are known.JCT(A) 78 (1997) 32\u201350.","journal-title":"JCT(A)"},{"key":"2_CR20","first-page":"313","volume":"18","author":"V. Pless","year":"1975","unstructured":"Pless, V., Sloane, N.J.A.: On the classification and enumeration of self-dual codes.JCT(A) 18 (1975) 313\u2013333.","journal-title":"JCT(A)"},{"key":"2_CR21","doi-asserted-by":"publisher","first-page":"305","DOI":"10.1109\/TIT.1980.1056195","volume":"26","author":"V. Pless","year":"1980","unstructured":"Pless, V., Sloane, N.J.A., Ward, H.N.: Ternary codes of minimum weight 6 and theclassification of self-dual codes of length 20. IEEE Trans. Inform. Th. 26 (1980)305\u2013316.","journal-title":"IEEE Trans. Inform. Th."},{"key":"2_CR22","doi-asserted-by":"publisher","first-page":"134","DOI":"10.1109\/18.651000","volume":"44","author":"E.M. Rains","year":"1998","unstructured":"Rains, E.M.: Shadow bounds for self-dual codes. IEEE Trans. Inform. Th. 44(1998) 134\u2013139.","journal-title":"IEEE Trans. Inform. Th."},{"key":"2_CR23","unstructured":"Rains, E.M., Sloane, N.J.A.: Self-dual codes. Handbook of Coding Theory.V. Plessand W.C. Huffman, North Holland, eds., Amsterdam, 1998."},{"issue":"107","key":"2_CR24","doi-asserted-by":"publisher","first-page":"439","DOI":"10.1016\/0012-365X(92)90574-Y","volume":"106","author":"J. Simonis","year":"1992","unstructured":"Simonis, J.: The [18],[9],[6] code is unique. Discrete Math. 106\/107 (1992) 439\u2013448.","journal-title":"Discrete Math."},{"key":"2_CR25","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1109\/18.108271","volume":"38","author":"H.N. Ward","year":"1992","unstructured":"Ward, H.N.: A bound for divisible codes. IEEE Trans. Inform. Th. 38 (1992) 191\u2013194.","journal-title":"IEEE Trans. Inform. Th."}],"container-title":["Lecture Notes in Computer Science","Applied Algebra, Algebraic Algorithms and Error-Correcting Codes"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-45624-4_2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,2,16]],"date-time":"2019-02-16T22:23:49Z","timestamp":1550355829000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-45624-4_2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001]]},"ISBN":["9783540429111","9783540456247"],"references-count":25,"URL":"https:\/\/doi.org\/10.1007\/3-540-45624-4_2","relation":{},"ISSN":["0302-9743"],"issn-type":[{"value":"0302-9743","type":"print"}],"subject":[],"published":{"date-parts":[[2001]]}}}