Does there exist a [72,36,16] Type II
code?
The purpose of this page is to bring together information on this
interesting open problem. The question of the existence of a
[72,36,16] Type II code is the first open case in a series of questions:
Does there exist a [24k,12k,4k+4] Type II code?
For k=1 there is the extended Golay code and for k=2 there is the
Quadratic Residue code. For large enough k it
is known that there are no
codes.
Monetary Prizes
The following monetary prizes were announced at the Yamagata conference,
October, 2000 and at WCC2001 in Paris.
The usual conditions apply, that is the prize is awarded only once and
the result must be published in a refereed reputable mathematics
journal. All decisions about the prize are decided by those offering
the prize.
Click here to download a .pdf file containing some details about these
codes.
Thanks to Vassil Yorgov for sending information for this page.
Comments or Questions can be emailed to
me.
