The Reed-Muller code R(r, m) Is not ℤ 4-Linear for 3 ≤ r ≤ m - 2

IEEE Transactions on Information Theory

Volumn 44, Issue 2, 1998, Pages 798-799

  Hou, Xiang Dong ^a,b   Lahtonen, Jyrki T ^a,c   Koponen, Sami ^c  

^a IEEE   (United States)

^b WRIGHT STATE UNIVERSITY   (United States)

^c UNIVERSITY OF TURKU   (Finland)

Author keywords

4 linear code; General affine group; Reed muller code

Indexed keywords

BOOLEAN FUNCTIONS; POLYNOMIALS; STATISTICAL METHODS; VECTORS;

GENERAL AFFINE GROUP; LINEAR CODE; REED-MULLER CODE;

BINARY CODES;

EID: 0032028636     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.661524     Document Type: Article

References (3)

1. 4 -linearity of Kerdock, Preparata, Goethals, and related codes," IEEE Trans. Inform. Theory, vol. 40, pp. 301-319, Mar. 1994.
2. X. Hou, "AGL(m, 2) acting on R(r, m)/R(s, m)," J. Algebra, vol. 171, pp. 921-938, 1995.
3. F. J. Mac Williams and N. J. Sloane, The Theory of Error-Correcting Codes. Amsterdam, The Netherlands: North-Holland, 1977.