#6014: hexads in S(5,6,12) and mathematical blackjack
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Reporter: wdj | Owner: rlm
Type: defect | Status: new
Priority: major | Milestone: sage-4.0.1
Component: coding theory | Keywords: combinatorics, coding theory
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This patch implements kittens, hexads and mathematical blackjack as
explained in
{{{
R. Curtis, ``The Steiner system $S(5,6,12)$, the Mathieu group
$M_{12}$,
and the kitten,'' in {\bf Computational group theory}, ed. M.
Atkinson,
Academic Press, 1984.
J. Conway, ``Hexacode and tetracode - MINIMOG and MOG,'' in {\bf
Computational
group theory}, ed. M. Atkinson, Academic Press, 1984.
J. Conway and N. Sloane, ``Lexicographic codes: error-correcting codes
from
game theory,'' IEEE Trans. Infor. Theory32(1986)337-348.
J. Kahane and A. Ryba, ``The hexad game,'' Electronic Journal of
Combinatorics, 8 (2001)
http://www.combinatorics.org/Volume_8/Abstracts/v8i2r11.html
}}}
It is used in a book on coding theory I'm writing with Jon-Lark Kim on
coding theory, which uses Sage throughout to illustrate error-correcting
codes.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6014>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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