login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A105676 Highest minimal Hamming distance of any Type 3 ternary self-dual code of length 4n. 21
3, 3, 6, 6, 6, 9, 9, 9, 12, 12, 12, 15, 15, 15, 18, 18 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier/North Holland, 1977.

W. C. Huffman, On the classification and enumeration of self-dual codes, Finite Fields Applic. 11 (2005), 451-490.

LINKS

Table of n, a(n) for n=1..16.

G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.

P. Gaborit, Tables of Self-Dual Codes

E. M. Rains and N. J. A. Sloane, Self-dual codes, pp. 177-294 of Handbook of Coding Theory, Elsevier, 1998; (Abstract, pdf, ps).

EXAMPLE

The [12,6,6]_3 ternary Golay code has d=6, so a(3) = 6.

CROSSREFS

Cf. A105674, A105675, A105677, A105678, A016729, A066016, A105681, A105682.

Cf. also A105683.

Sequence in context: A072464 A262871 A160745 * A127739 A175394 A070318

Adjacent sequences:  A105673 A105674 A105675 * A105677 A105678 A105679

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, May 06 2005

EXTENSIONS

The sequence continues: a(17) = either 15 or 18, a(18) = 18, ...

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified February 19 18:31 EST 2018. Contains 299356 sequences. (Running on oeis4.)