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A194851 List of the 14 blocks in the Reed-Muller version of the Steiner System S(3,4,8) written as decimal numbers. 0
15, 51, 60, 85, 90, 102, 105, 150, 153, 165, 170, 195, 204, 240 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This is a constant weight binary code of length 8, distance 4 and weight 4.

It is also a lexicographic code.

It is also the set of weight 4 words in the extended Hamming code of length 8.

LINKS

Table of n, a(n) for n=1..14.

A. E. Brouwer, J. B. Shearer, N. J. A. Sloane and W. D. Smith, New table of constant weight codes, IEEE Trans. Info. Theory 36 (1990), 1334-1380.

J. H. Conway and N. J. A. Sloane, Lexicographic codes: error-correcting codes from game theory, IEEE Transactions on Information Theory, 32:337-348, 1986.

EXAMPLE

The blocks are:

00001111

00110011

00111100

01010101

01011010

01100110

01101001

10010110

10011001

10100101

10101010

11000011

11001100

11110000

CROSSREFS

A subsequence of A075928.

Sequence in context: A191746 A029941 A278909 * A075928 A020214 A127643

Adjacent sequences:  A194848 A194849 A194850 * A194852 A194853 A194854

KEYWORD

fini,full,nonn,base

AUTHOR

N. J. A. Sloane, Sep 04 2011

STATUS

approved

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Last modified October 23 22:58 EDT 2019. Contains 328379 sequences. (Running on oeis4.)