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Volume 20 Issue 1
Jan.  1998
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Wang Lingli, Xu Xinmin, Chen Xiexiong. EXPANSIONS OF MVL FUNCTIONS IN COMPOSITE FIELD BASED ON MODULO OPERATIONS[J]. Journal of Electronics & Information Technology, 1998, 20(1): 120-124.
Citation: Wang Lingli, Xu Xinmin, Chen Xiexiong. EXPANSIONS OF MVL FUNCTIONS IN COMPOSITE FIELD BASED ON MODULO OPERATIONS[J]. Journal of Electronics & Information Technology, 1998, 20(1): 120-124.

EXPANSIONS OF MVL FUNCTIONS IN COMPOSITE FIELD BASED ON MODULO OPERATIONS

  • Received Date: 1996-07-23
  • Rev Recd Date: 1997-03-31
  • Publish Date: 1998-01-19
  • The expansions of MVL functions in prime field based on Modulo operations are analysed and the concept of modulo relativity is proposed. Then the canonical expansions of any quarternary logic function are presented.
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  • Kodandapani K L, Setlur R. Reed-Muller canonical forms in multivalued-logic[J].IEEE Trans. on Computers.1975, C-24:628-636[2]Mckenzie L, Almaini A E A, Miller J F, Thompson P. Optimization of Reed-Muller logic functions[J].Int. J. of Electron.1993, 75(3):451-466[3]赵小杰,吴训威.模代数在多值逻辑系统中的适应范围.科学通报,1991,36(18): 1431-1433.[4]Fakowski B J, Rahardja S. Efficient computation of quarternary fixed polarity Reed-Muller expansions[J].IEE Proc. Comput. Digit. Tech.1995, 142(5):345-352[5]Stankvonic R S. Some remarks on Fourier transforms and differential operators for digital functions. Proc. IEEE 22nd ISMVL, Sendai, Japan: 1992, 365-370.[6]Hozumi T, Kamiura N, Hata Y, Yamato K. Multiple-valued logic design using multiple-valued EXOR. Proc. IEEE 25th ISMVL, Bloomington, Indiana: 1995, 290-295.[7]吴训威,著,陈偕雄,校.多值逻辑电路设计原理.杭州:杭州大学出版社,1994,20-25.[8]王伶俐,陈偕雄.模代数与普通代数的关系.杭州大学学报(自然科学版),1997, 24(1): 40-44.[9]Zilic Z, Vranesic Z. Current-mode CMOS Galois field circuits. Proc. IEEE 23rd ISMVL, Sacramento,[10]California: 1993. 245-250.
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