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On the weight enumeration of weights less than 2.5d of Reed—Muller codes

Tadao Kasami, Nobuki Tokura, Saburo Azumi
1976 Information and Control  
Japan Let P, be the set of all polynomials of degree r in m variables over GF(2).  ...  INTROLNJCTION Explicit weight enumerator formulas are known for the second-order Reed-Muller (RM) codes by Sloane and Berlekamp (1970) , and for the codewords of weight less than 2d of any order RM codes  ...  By counting the number of polynomials which are affine equivalent to each representative polynomial in the set, we derive explicit formulas for the enumerators of all weights less than 2.5d of Reed-Muller  ... 
doi:10.1016/s0019-9958(76)90355-7 fatcat:htwtcv33fjabxnpmpweydot5le

Page 713 of Mathematical Reviews Vol. 53, Issue 2 [page]

1977 Mathematical Reviews  
Goethals (Brussels) Kasami, Tadao; Tokura, Nobuki; Azumi, Saburo 5153 On the weight enumeration of weights less than 2.5d of Reed- Muller codes. Information and Control 30 (1976), no. 4, 380-395.  ...  This is used to find formulas for the enumerators of all weights less than 2.5d for d the minimum  ... 

Effects of errorless learning on the acquisition of velopharyngeal movement control

Andus Wing-Kuen Wong, Tara Whitehill, Estella Ma, Rich Masters
2012 Journal of the Acoustical Society of America  
This combination produces the neuroplasticity of the child's mind, and contrasts with the more expert (but less open) mind of the adult.  ...  The kernel of this operator (the Herglotz kernel) contains all the information on the SIR.  ...  angle within the range of less than 15 degrees.  ... 
doi:10.1121/1.4708235 fatcat:7wzupz5u2nd6nc7ttvbpxwvunm

Revelation of Yin-Yang Balance in Microbial Cell Factories by Data Mining, Flux Modeling, and Metabolic Engineering

Gang Wu
2016
Hui Wei from the University of Illinois at Urbana-Champaign.  ...  This research was supported by the National Research Foundation of Korea (2011-0026754) through the Ministry of Education, Science and Technology given to I. C. Kong.  ...  However, 13 C-MFA studies on anaerobic metabolisms are much less frequent than on aerobic metabolisms. MFlux cannot predict the complicated patterns of overflow fluxes at this stage.  ... 
doi:10.7936/k7sj1hw4 fatcat:lknl5i4cfzbp7prhbkxv4fxvna