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Professor Vera Pless has been preeminent in the development of much of the algebraic theory of error-correcting codes. She is well-known for 'Pless power moments' which are an infinite family of equations relating to the weight distribution of the code to the weight distribution of its dual code. This family, although equivalent to the MacWilliams equations, is particularly useful in showing uniqueness of certain solutions. She is the first person to start the classification of binary self-dual codes in 1972 and also find the Pless symmetry codes and new 5-designs in 1972. This classification problem has expanded to the classification of self-dual codes over finite fields and finite rings, one of the most active research areas.
机译:Vera Pless教授在纠错码的许多代数理论的发展中起着举足轻重的作用。她以“无动力时刻”而闻名,“无动力时刻”是与代码的权重分布与其对偶代码的权重分布相关的无限等式。该族虽然等效于MacWilliams方程,但在显示某些解决方案的唯一性方面特别有用。她是第一个在1972年开始对二进制自对偶代码进行分类的人,并且在1972年发现了Pless对称代码和新的5设计。此分类问题已扩展到有限域和有限域上的对偶代码的分类。环,最活跃的研究领域之一。

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    XLIM-DMI, University of Limoges, 123, Avenue Albert Thomas, 87000 Limoges, France;

    Department of Mathematics, University of Louisville, 328 Natural Sciences Building, Louisville, KY 40292, USA;

    Telecom ParisTech, Dept COMELEC, 46, rue Barrault, 75013 Paris, France;

    Department of Computer Science, Ryerson University, Toronto, Ontario M5B 2K3, Canada;

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