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gh-34985: Add new skew hadamard matrices Fixes #34848. URL: #34985 Reported by: MatteoCati Reviewer(s): Dima Pasechnik
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src/doc/en/reference/references/index.rst

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@@ -624,7 +624,7 @@ REFERENCES:
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and variants*.
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:arxiv:`1810.00789`
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.. [BDKR2013] \D. Best, D.Z. Dokovic, H. Kharaghani and H. Ramp.
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.. [BDKR2013] \D. Best, D.Ž. Đoković, H. Kharaghani and H. Ramp.
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*Turyn-Type Sequences: Classification, Enumeration, and Construction*,
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Journal of Combinatorial Designs 21(1) (2013): 24-35.
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:doi:`10.1002/jcd.21318`
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Proc. London Math. Soc. (3) **77** (1998), 551–581.
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:mathscinet:`MR1643413`
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.. [BS1969] \D. Blatt, G. Szekeres.
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*A Skew Hadamard Matrix of Order 52*,
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Canadian Journal of Mathematics 21 (1969): 1319-1322.
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:doi:`10.4153/CJM-1969-144-2`
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.. [BS1996] Eric Bach, Jeffrey Shallit. *Algorithmic Number Theory,
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Vol. 1: Efficient Algorithms*. MIT Press, 1996. ISBN
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978-0262024051.
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and some constructions of de Luca and Rauzy*,
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Theoret. Comput. Sci. 255 (2001) 539--553.
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.. [Djo1992] \D. Đoković.
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.. [Djo1992a] \D. Đoković.
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*Construction of some new Hadamard matrices*,
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Bulletin of the Australian Mathematical Society 45(2) (1992): 327-332.
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:doi:`10.1017/S0004972700030185`
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.. [Djo1992b] \D. Đoković.
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*Skew Hadamard matrices of order 4 x 37 and 4 x 43*,
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Journal of Combinatorial Theory, Series A 61(2) (1992): 319-321.
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:doi:`10.1016/0097-3165(92)90029-T`
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.. [Djo1992c] \D. Đoković.
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*Ten New Orders for Hadamard Matrices of Skew Type*,
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Publikacije Elektrotehničkog fakulteta. Serija Matematika 2 (1992): 47-59.
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.. [Djo1994] \D. Đoković.
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*Five New Orders for Hadamard Matrices of Skew Type*,
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Australasian Journal of Combinatorics 10 (1994): 259-264.
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.. [Djo2008a] \D. Đoković.
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*Skew-Hadamard matrices of orders 188 and 388 exist*,
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International Mathematical Forum 3 no.22 (2008): 1063-1068.
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:arxiv:`0704.0640`
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.. [Djo2008b] \D. Đoković.
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*Skew-Hadamard matrices of orders 436, 580 and 988 exist*,
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Journal of Combinatorial Designs 16 (2008): 493-498.
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:arxiv:`0706.1973`
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.. [Djo2023a] \D. Đoković.
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*Skew-Hadamard matrices of order 276*.
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:arxiv:`10.48550/ARXIV.2301.02751`
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.. [Djo2023b] \D. Đoković, Email Communication. 26 January 2023.
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.. [DK2013] John R. Doyle and David Krumm, *Computing algebraic
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numbers of bounded height*, :arxiv:`1111.4963v4` (2013).
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code, by I.A.Faradjev (with contributions by A.E.Brouwer,
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D.V.Pasechnik). https://github.com/dimpase/coco
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.. [FKS2004] \R. J. Fletcher, C. Koukouvinos and J. Seberry.
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*New skew-Hadamard matrices of order 4·59 and new D-optimal designs of order 2·59*,
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Discrete Mathematics 286(3) (2004): 251-253.
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:doi:`10.1016/j.disc.2004.05.009`
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.. [FL2001] David Forge and Michel Las Vergnas.
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*Orlik-Solomon type algebras*. European J. Combin.
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**22** (5), (2001). pp. 699-704.
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:doi:`10.1007/978-1-4684-9322-1`,
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ISBN 978-1-4684-9322-1.
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.. [Spe1977] \E. Spence.
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*Skew-Hadamard matrices of order 2(q + 1)*,
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Discrete Mathematics 18(1) (1977): 79-85.
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:doi:`10.1016/0012-365X(77)90009-7`
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.. [Spe2013] \D. Speyer, *An infinitely generated upper cluster algebra*,
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:arxiv:`1305.6867`.
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@@ -5847,6 +5887,10 @@ REFERENCES:
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Hall-Littlewood vertex operators and generalized Kostka polynomials.
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Adv. Math. 158 (2001), no. 1, 66-85.
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.. [Sze1988] \G. Szekeres.
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*A note on skew type orthogonal ±1 matrices*,
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Combinatorics, Colloquia Mathematica Societatis, Janos Bolyai, 52 (1988): 489-498.
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.. _ref-T:
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**T**
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pages 150--168, 1932,
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`available on JSTOR <http://www.jstor.org/stable/2371086>`_
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.. [Whi1971] \A. Whiteman.
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*An infinite family of skew Hadamard matrices*,
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Pacific Journal of Mathematics 38(3) (1971): 817-822.
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:doi:`10.2140/pjm.1971.38.817`
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.. [White2015] Noah White.
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*The monodromy of real Bethe vectors for the Gaudin model*.
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J. Combin. Algebra, **2** no. 3 (2018). pp. 259-300.

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