골레이 코드 (Golay code)

 

 

 

 

Golay code

1. Clear[n, k, x, y, A, B, G, H, V, hw, md, W, Gex, Vex, hwex, mdex, Wex]
   n := 23
   k := 12
   (*F2[k] is a set of all row vectors in k-tuples*)
   F2[k_] := Tuples[{0, 1}, k]
   (*matrix for systematic form representation*)
   c5 := {1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0};
   MG := Table[RotateRight[c5, n], {n, 0, 10}]
   AppendTo[MG, {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}];
   A := Transpose[MG]

 

 

 

• http://mathworld.wolfram.com/GolayCode.html

1. Clear[n, k, x, y, A, B, G, H, V, hw, md, W, Gex, Vex, hwex, mdex, Wex]
   n := 23
   k := 12
   (*F2[k] is a set of all row vectors in k-tuples*)
   F2[k_] := Tuples[{0, 1}, k]
   (*matrix for systematic form representation*)
   A := {{1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1}, {1, 0, 1, 0, 1, 1, 0, 1,
      1, 0, 0, 1}, {1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0}, {1, 0, 1, 1, 1,
      0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0}, {1, 1,
      0, 1, 0, 1, 1, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1,
      0}, {1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0}, {1, 1, 1, 0, 1, 0, 1, 0,
      0, 0, 1, 1}, {1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 1, 1, 1, 1,
      1, 1, 1, 1, 1, 1, 1}}

 

 

\(x^24 + 759 x^16 y^8 + 2576 x^12 y^12 + 759 x^8 y^16 + y^24\)

 

 

 

역사

 

• http://www.google.com/search?hl=en&tbs=tl:1&q=
• 수학사연표

 

 

메모

 

• Math Overflow http://mathoverflow.net/search?q=

 

 

 

 

수학용어번역

• 단어사전
  
  • http://translate.google.com/#en%7Cko%7C
  • http://ko.wiktionary.org/wiki/
• 발음사전 http://www.forvo.com/search/
• 대한수학회 수학 학술 용어집
  
  • http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr=
• 한국통계학회 통계학 용어 온라인 대조표
• 남·북한수학용어비교
• 대한수학회 수학용어한글화 게시판

 

 

 

사전 형태의 자료

• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/
• The Online Encyclopaedia of Mathematics
• NIST Digital Library of Mathematical Functions
• The World of Mathematical Equations

 

 

 

 

 

관련논문

• http://www.jstor.org/action/doBasicSearch?Query=
• http://www.ams.org/mathscinet
• http://dx.doi.org/

 

 

관련도서

• 도서내검색
  
  • http://books.google.com/books?q=
  • http://book.daum.net/search/contentSearch.do?query=