In coding theory, the ternary Golay codes are two closely related error-correcting codes.The code generally known simply as the ternary Golay code isâ€¦Â (More)

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2012

2012

- Bart De Bruyn
- Discrete Mathematics
- 2012

Let E1 be the near hexagon on 729 points related to the extended ternary Golay code. We prove in an entirely geometricway thatâ€¦Â (More)

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2009

2009

- Mark F. Flanagan, Vitaly Skachek, Eimear Byrne, Marcus Greferath
- IEEE Transactions on Information Theory
- 2009

A framework for linear-programming (LP) decoding of nonbinary linear codes over rings is developed. This framework facilitates LPâ€¦Â (More)

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2005

2005

- Frans M. J. Willems, Marten van Dijk
- IEEE Transactions on Information Theory
- 2005

Gray-scale signals can be represented as sequences of integer-valued symbols. If such a symbol has alphabet {0,1,...,2/sup B/-1â€¦Â (More)

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2002

2002

- Ales DrÃ¡pal
- Discrete Mathematics
- 2002

A new proof of the uniqueness and of the existence of the extended ternary Golay code is presented. The proof connects the codeâ€¦Â (More)

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1998

1998

- Edward F. Assmus
- IEEE Trans. Information Theory
- 1998

| In the late 50s Slepian introduced a structure theory for linear, binary codes and proved that every such code was uniquely theâ€¦Â (More)

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1996

1996

- A. Robert Calderbank, N. J. A. Sloane
- IEEE Trans. Information Theory
- 1996

The 12-dimensional Coxeter-Todd lattice can be obtained by lifting the ternary Golay code to a code over the integers mod 9 andâ€¦Â (More)

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1996

1996

- Jaehyeong Kim, Gregory J. Pottie
- IEEE Trans. Information Theory
- 1996

The 12-dimensional Coxeter-Todd lattice can be obtained<lb>by lifting the ternary Golay code to a code over the integers mod 9â€¦Â (More)

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1993

1990

1990

- Frank Bernhardt, Peter Landrock, Olaf Manz
- J. Comb. Theory, Ser. A
- 1990

In this note we answer the following question in the aftirmative: Is there a nalural algebraic structure on the vector spacesâ€¦Â (More)

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1986