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2022 | OriginalPaper | Chapter

On a Class of Minihypers in the Geometries \(\text {PG}(r,q)\)

Authors : Ivan Landjev, Emilyan Rogachev, Assia Rousseva

Published in: Computer Science and Education in Computer Science

Publisher: Springer Nature Switzerland

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Abstract

We characterize all minihypers with parameters \((v_3+2v_2,v_2+2v_1)\) in the geometries \(\text {PG}(r,q)\). Apart from the trivial ones which are the sum of a plane and two lines, we construct several sporadic minihypers in the geometries \(\text {PG}(r,q)\) with \(q=3\) and \(q=4\).

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Literature
1.
Hamada, N.: A characterization of some \([n, k, d;q]\)-codes meeting the Griesmer bound using a minihyper in a finite projective geometry. Discrete Math. 116, 229–268 (1993)MathSciNetCrossRefMATH
2.
Hill, R.: Optimal linear codes. In: Mitchell, C. (ed.) Cryptography and Coding II. Oxford Univ, pp. 75–104. Press, Oxford (1992)
3.
Hill, R.: An extension theorem for linear codes. Des. Codes Cryptogr. 17, 151–157.11111 (1999)
4.
Hill, R., Lizak, P.: Extensions of linear codes. In: Proceedings IEEE International Symposium on Information Theory, Whistler, Canada, p. 345 (1995)
5.
6.
Landjev, I., Rogachev, E., Rousseva, A.: On ternary codes and blocking sets in \(\rm PG (r, q)\), manuscript
7.
Landjev, I., Vandendriesche, P.: A study of \((xv_t, xv_{t-1})\)-minihypers in \(\rm PG (t, q)\). J. Combin. Theory Ser. A 119, 1123–1131 (2012)MathSciNetCrossRefMATH
8.
9.
Sawashima, T., Maruta, T.: Nonexistence of some ternary linear codes with minimum weight\(-2\) modulo 9, Adv. Math. Comm. (2022). (to appear)
10.
11.
Yoshida, Y., Maruta, T.: Ternary linear codes and quadrics. Electronic J. Combin. 16, #R9 (2009)
12.
Metadata
Title
On a Class of Minihypers in the Geometries
Authors
Ivan Landjev
Emilyan Rogachev
Assia Rousseva
Copyright Year
2022
Book
Computer Science and Education in Computer Science

Print ISBN: 978-3-031-17291-5

Electronic ISBN: 978-3-031-17292-2

Copyright Year: 2022

DOI
https://doi.org/10.1007/978-3-031-17292-2_12

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