Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Johannes G. Maks"'
Publikováno v:
Designs, Codes and Cryptography. 40:335-341
Let G: = G(1,n,q) denote the Grassmannian of lines in PG(n,q), embedded as a point-set in PG(N, q) with $$N:=\binom{n+1}{2}-1.$$ For n = 2 or 3 the characteristic function $$\chi (\overline{G})$$ of the complement of G is contained in the linear code
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b2a81eab2149a8be83d8e3729889e1aa
https://doi.org/10.1007/s10623-006-0028-0
https://doi.org/10.1007/s10623-006-0028-0
Publikováno v:
Discrete Mathematics. 301:137-146
We consider the following 'even hyperplane construction' of flats in the projective space PG(9,2)=P(@?^2V(5,2)) which are external to the Grassmannian G"1","4","2 of lines of PG(4,2). Let the Grassmann image in G"1","4","2 of a partial spread S"r={@m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ddf9a56c84bec56f10f444fc8d0b792
https://doi.org/10.1016/j.disc.2004.11.023
https://doi.org/10.1016/j.disc.2004.11.023
Publikováno v:
Designs, Codes and Cryptography. 34:203-227
Constructions are given of different kinds of flats in the projective space $$PG(9,2)={\mathbb P}(\wedge^{2}V(5,2))$$ which are external to the Grassmannian $${\cal G}_{\bf 1,4,2}$$ of lines of PG(4,2). In particular it is shown that there exist prec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::973f42a8f2f735b62331deddba1f4c67
https://doi.org/10.1007/s10623-004-4855-6
https://doi.org/10.1007/s10623-004-4855-6
Autor:
Ron Shaw, Johannes G. Maks
Publikováno v:
Journal of Geometry. 78:168-180
We show that in $\operatorname{PG}(4,2)$ there exist octets $\mathcal{P} _{8}=\{\pi_{1},\,\ldots\,,\pi_{8}\}$ of planes such that the 28 intersections $\pi_{i}\cap\pi_{j}$ are distinct points. Such conclaves (see [6]) $\mathcal{P}_{8}$ of planes in $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c5c4a58ba9a535d706e232c34435265
https://doi.org/10.1007/s00022-003-1670-6
https://doi.org/10.1007/s00022-003-1670-6
Autor:
Johannes G. Maks, Juriaan Simonis
Publikováno v:
Electronic Notes in Discrete Mathematics. 6:310-317
A new family of invariants for binary linear codes is introduced. In the 3-dimensional case a particular set of the new invariants is shown to determine code equivalence. Each selection of a set of invariants gives rise to a generalized weight distri
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https://explore.openaire.eu/search/publication?articleId=doi_________::7af660a9ead6b08be89aa820313a3b8b
https://doi.org/10.1016/s1571-0653(04)00182-9
https://doi.org/10.1016/s1571-0653(04)00182-9
Autor:
Juriaan Simonis, Johannes G. Maks
Publikováno v:
Designs, Codes and Cryptography. 21:165-180
There are exactly two non-equivalent [32,11,12]-codes in the binary Reed-Muller code {\cal{RM}}(2,5) which contain {\cal{RM}}(1,5) and have the weight set \{0,12,16,20,32\}. Alternatively, the 4-spaces in the projective space {\Bbb{P}}(\Lambda^{2}{\B
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4597e42f0e64e152017d377826f8fa8d
https://doi.org/10.1023/a:1008343829143
https://doi.org/10.1023/a:1008343829143
Publikováno v:
Journal of Geometry. 51:50-59
Neil A. Gordon, Trevor M. Jarvis, Johannes G. Maks, Ron Shaw The multiplication law for the non-associative algebra of Cayley numbers can be expressed (in a suitable basis) in the form exey -- (-1)f(x'Y)ex+y, x, y E V, where V = V(3,2) denotes the 3-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ecabaa6bebbddc3ea98bc2448615627
https://doi.org/10.1007/bf01226856
https://doi.org/10.1007/bf01226856
Autor:
Johannes G. Maks
Publikováno v:
Clifford (Geometric) Algebras ISBN: 9781461286547
The hidden universal Clifford algebra structure of M4(R) is ambiguous in the sense that this matrix algebra is the universal geometric algebra belonging to each of the real four-dimensional quadratic vector spaces R1,3 and R2,2. As a non-universal Cl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7625f9d5c3cde34cf75e42e7689d9b2e
https://doi.org/10.1007/978-1-4612-4104-1_31
https://doi.org/10.1007/978-1-4612-4104-1_31
Autor:
Johannes G. Maks
Publikováno v:
Clifford Algebras and their Applications in Mathematical Physics ISBN: 9789048141302
It is well-known that Clifford algebras are geometrical algebras in the sense that they afford the spin representation of the orthogonal groups. By virtue of modern results, however, it is clear that Clifford algebras make a structure which is suited
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fb483c135e22e0090397a252dfca82fe
https://doi.org/10.1007/978-94-015-8090-8_6
https://doi.org/10.1007/978-94-015-8090-8_6