\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2016a.00852}
\itemau{Brown, Ezra}
\itemti{Many more names of $(7, 3, 1)$.}
\itemso{Math. Mag. 88, No. 2, 103-120 (2015).}
\itemab
Summary: The $(7, 3, 1)$ block design is an object that shows up in many areas of mathematics. In fact, $(7, 3, 1)$ seems to appear again and again in unexpected places. [{\it E. Brown}, Math. Mag. 75, No. 2, 83--94 (2002; Zbl 1064.05031)] described $(7, 3, 1)$'s connection with such areas as graph theory, number theory, topology, round-robin tournaments, and algebraic number fields. In this paper, we show how $(7, 3, 1)$ makes appearances in the areas of error-correcting codes, $n$-dimensional finite projective geometries, difference sets, normed algebras, and the three-circle Venn diagram.
\itemrv{~}
\itemcc{K20 P20 F60 H40}
\itemut{block designs; binary Hamming code; $q$-ary Hamming code; Singer designs; Singer difference sets; sums of squares; octonions; sedenions}
\itemli{doi:10.4169/math.mag.88.2.103}
\end