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Constraints on Weights in Binary Codes

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

 There are known constraints on the number of doubly-even and singly-even vectors in a linear even binary code C. These constraints give information about C∩C ⊥. We find new constraints on weights in a binary linear code C which also contains odd weight vectors. This leads to information about the dimension and weights of C∩C ⊥.

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Authors and Affiliations

  1. Department of Mathematics, Statistics and Computer Science (M/C 249), University of Illinois at Chicago, 851 South Morgan Street, Chicago, IL 60607-7045, USA (e-mail: pless@math.uic.edu), , , , , , US

    Vera Pless

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  1. Vera Pless
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Received: September 20, 1996

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Pless, V. Constraints on Weights in Binary Codes. AAECC 8, 411–414 (1997). https://doi.org/10.1007/s002000050079

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  • DOI: https://doi.org/10.1007/s002000050079