Conversion of modular numbers to their mixed radix representation by a matrix formula

Author:
J. Schönheim

Journal:
Math. Comp. **21** (1967), 253-257

MSC:
Primary 65.35

MathSciNet review:
0224252

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References | Similar Articles | Additional Information

**[1]**M. Valach & A. Svoboda, ``Circuit operators,''*Stroje na. Zpracovani Informaci Sb.*, v. 111, 1957, pp. 247-297. (Czech)**[2]**H. S. Shapiro,*Some remarks on modular arithmetic and parallel computation*, Math. Comp.**16**(1962), 218–222. MR**0146992**, 10.1090/S0025-5718-1962-0146992-4**[3]**Henry B. Mann,*On modular computation*, Math. Comput.**15**(1961), 190–192. MR**0120187**, 10.1090/S0025-5718-1961-0120187-1**[4]**George E. Lindamood and George Shapiro,*Magnitude comparison and overflow detection in modular arithmetic computers*, SIAM Rev.**5**(1963), 342–350. MR**0169412****[5]**A. Svoboda,*The numerical system of residual classes in mathematical machines*, Information processing, UNESCO, Paris; R. Oldenbourg, Munich; Butterworths, London, 1960, pp. 419–422 (English, with French, German, Russian, and Spanish summaries). MR**0162382****[6]**I. Borosh and A. S. Fraenkel,*Exact solutions of linear equations with rational coefficients by congruence techniques*, Math. Comp.**20**(1966), 107–112. MR**0187379**, 10.1090/S0025-5718-1966-0187379-1**[7]**V. N. Teĭtel′baum,*Comparison of numbers in the Czech system of numbers*, Dokl. Akad. Nauk SSSR**121**(1958), 807–810 (Russian). MR**0104614****[8]**A. S. Fraenkel,*On Size of Modular Numbers*, Proc. ACM 19th National Conference, Philadelphia, Pa., 1964.

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DOI:
http://dx.doi.org/10.1090/S0025-5718-1967-0224252-5

Article copyright:
© Copyright 1967
American Mathematical Society