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A characterization of designs related to dodecads in the witt system S(5, 8, 24)

Vladimir D Tonchev
1986 Journal of combinatorial theory. Series A  
We prove that the .5- (24, 12, 48) design formed by the dodecades in the extended binary Golay code, as well as all l-designs (f > 2) obtained from it by derivation, are the unique designs with the given  ...  parameters and such that the cardinality of the intersection of any two blocks has the same parity (mod 2) as the block size.  ...  The same method was applied in [ll, 123 for a similar characterization of designs obtained by derivation from the Witt system S(5, 8, 24).  ... 
doi:10.1016/0097-3165(86)90062-2 fatcat:kgrsmbpypvgyzkzxhd7iivyjnm

Page 659 of Mathematical Reviews Vol. , Issue 88b [page]

1988 Mathematical Reviews  
(BG-AOS) A characterization of designs related to dodecads in the Witt system S(5, 8, 24). J. Combin. Theory Ser. A 43 (1986), no. 2, 219-227. It has long been known [E. Witt, Abh. Math. Sem. Univ.  ...  By unique we will always mean unique up to permutation of coordinates. The supports of the vec- tors of weight 8 in C are precisely the blocks of an S(5, 8, 24).  ... 


2010 Series on Coding Theory and Cryptology  
In particular, special interest is devoted to the relationship between codes and combinatorial designs. We describe and recapitulate important results in the development of the state of the art.  ...  This chapter introduces and elaborates on the fruitful interplay of coding theory and algebraic combinatorics, with most of the focus on the interaction of codes with combinatorial designs, finite geometries  ...  Solutions: ad (1): By Lemma 1.2 (b), we have to calculate b = 8·7·6 4·3·2 = 14 in the case of the Steiner quadruple system SQS(8), and b = 24·23·22·21·20 8·7·6·5·4 = 759 in the case of the Mathieu-Witt  ... 
doi:10.1142/9789812837172_0004 fatcat:jxkvgjmbhvfo5jhsy37bforafe

The friendly giant

Robert L. Griess
1982 Inventiones Mathematicae  
We let f2=IFz3 u {oo}, as in [11] and let {x/liar2} be an orthonormal basis for Q~=Q24. Let ~=~ (5, 8, 24 ) be a Steiner system based on f2.  ...  (5, 8, 24) {x~li~O} (,) (,> N24 gs A.  ...  Considering the action of a 24(3 x A 5) subgroup of Thanks go also to Ronald Solomon for spotting an error in an early version of this table  ... 
doi:10.1007/bf01389186 fatcat:6ethifestvdq7gg3yn7x4jm7aq

Page 1135 of Mathematical Reviews Vol. , Issue Index [page]

Mathematical Reviews  
A characterization of designs related to dodecads in the Witt system S(5,8,24). J. Combin. Theory Ser. A 43 (1986), no. 2, 219-227.  ...  (Luc Teirlinck) 88i:05034 § 05B07 Embedding of the Witt-Mathieu system S(3,6,22) in a symmetric 2-(78, 22, 6) design. Geom. Dedicata 22 (1987), no. 1, 49-75.  ... 

Medial catalexis in Sir Thomas Wyatt's iambic pentameter

Patrik Bye
2021 Nordlyd: Tromsø University Working Papers on Language & Linguistics  
The final part of the paper offers some speculations as to the nature of medial catalexis and how it can be approached within a linguistically informed framework compatible with generative metrics.  ...  There is a reasonable scholarly consensus that the long ("heroic") line of Sir Thomas Wyatt is an iambic pentameter.  ...  GP 502 In (55), the stressed syllables of both gold and iren align to a E (=S) position.  ... 
doi:10.7557/12.6260 fatcat:hg4vq2w25zb5xjaflq7yvikkee

Proclus on Nature. Philosophy of Nature and Its Methods in Proclus' Commentary on Plato's Timaeus

Marije Martijn
2009 Mnemosyne: A Journal of Classical Studies  
V.8 In conclusion: φυσιολογία as scientific mimesis  ...  IV.4 General conclusion IV.5 Appendix: The Elements of Physics V Discourse and Reality: The εἰκὼς λόγος V.1 Introduction V.2 The εἰκὼς λόγος today -a selection V.3 Proclus on the εἰκώς λόγος: preliminaries  ...  I.10.4-5. 22 Cf. Steel (1994: 79-80), and Witt (1933), Dörrie (1955) on the history of the notion. Cf.  ... 
doi:10.1163/156852510x456237 fatcat:laflv7hp6jhdbj63wcukjgyfxm

Moduli of sheaves

Nicole Mestrano, Carlos Simpson
Development of Moduli Theory — Kyoto 2013   unpublished
Problem 15. 5 . 5 Determine when there exists a universal family on the full family of moduli spaces M (X/S) × S X.  ...  In our situation, the dodecad P can be degenerated on X to a configuration of 11 points on a rational normal cubic, plus a twelfth point in general position.  ... 
doi:10.2969/aspm/06910077 fatcat:brfj25vihfaujczwkek4odkmvi