Coordinate Systems of Some Semi-Translation Planes
نویسندگان
چکیده
منابع مشابه
Dual Codes of Translation Planes
We improve on the known upper bound for the minimum weight of the dual codes of translation planes of certain orders by providing a general construction of words of small weight. We use this construction to suggest a possible formula for the minimum weight of the dual p-ary code of the desarguesian plane of order pm for any prime p and any m ≥ 1.
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Can eve.ry (non-Desarguest.. an) projee.,tJVe p~' ~ imbedded (in some natural, g~anet.ric ff.hion) in af1J8sarguesian) projective space? The Ite,titn is ne...WI~.ut .. ,trnp .. · ortant, for, if the answer is yes, tfo entirely SEijifia'Wt fields of research can be united~ 1his paper ;p~1des. conceptually simple geometric construction 1vh1dti',Y1elds an affirmative answer for a broad class of pl...
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An infinite family of non-Desarguesian translation planes of order q with kernel GF(q) is constructed, for any odd prime power q. The collineation group of each plane has orbits of lengths 1, q, and q − q on the translation line. The method used for the construction is net replacement, starting from a Dickson-Knuth semifield plane. The planes are constructed via spreads and the spreads via spre...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1964
ISSN: 0002-9947
DOI: 10.2307/1993666