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Add new skew hadamard matrices #34985

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Feb 24, 2023
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0fda29f
Make fixed relative sets functions public
MatteoCati Dec 18, 2022
f6e0039
Add Spence skew hadamard matrix construction
MatteoCati Dec 21, 2022
bb6e149
Add skew SDS of size 37 and 43
MatteoCati Dec 23, 2022
ad8b1ce
Add more skew SDS
MatteoCati Dec 23, 2022
a09bdcf
Refactor GS_skew_hadamard_smallcases
MatteoCati Dec 23, 2022
67ee8f5
Add skew SDS for matrix of order 388
MatteoCati Dec 23, 2022
0805441
Add skew hadamard matrix of order 188
MatteoCati Dec 23, 2022
8728016
Add skew SDS of order 109, 145, 247
MatteoCati Dec 23, 2022
a619611
Fix whitespaces
MatteoCati Jan 10, 2023
b8bc903
Add skew Hadmard matrix order 324
MatteoCati Jan 11, 2023
e762590
Add 324 construction to skew hadamard function
MatteoCati Jan 11, 2023
5ad51cf
Fix documentation for SDS
MatteoCati Jan 13, 2023
528851d
Add skew Hadamard matrix construction from good matrices
MatteoCati Jan 13, 2023
85ff5cc
Add function for smallcases of good matrices
MatteoCati Jan 14, 2023
d3c541c
Add skew matrices from good matrices to general function
MatteoCati Jan 14, 2023
215bfa5
Add skew Hadamard matrix of order 236
MatteoCati Jan 14, 2023
75612d2
Add skew Hadamard matrix of order 276
MatteoCati Jan 15, 2023
91bcab0
Add Whiteman construction for skew Hadamard matrix of order 340
MatteoCati Jan 15, 2023
85e492c
Fix good matrices construction
MatteoCati Jan 17, 2023
07054a3
Fix tests of construction of skew Hadamard matrices from good matrices
MatteoCati Jan 17, 2023
033fee9
Fix trailing whitespaces in difference_family.py
MatteoCati Jan 22, 2023
94d12fa
Fix trailing whitespaces in hadamard_matrix.py
MatteoCati Jan 22, 2023
3ac811d
Fix code style for hadamard_matrix.py
MatteoCati Jan 22, 2023
bbc32c8
Add skew sds for skew Hadamard matrix of order 292
MatteoCati Jan 26, 2023
a8ff9d7
Add reference for skew SDS of size 73
MatteoCati Jan 26, 2023
9a298e0
normalise_hadamard can make matrix skew-normalized
MatteoCati Jan 27, 2023
d341549
add function is_skew_hadamard_matrix
MatteoCati Jan 27, 2023
2a33764
Fix is_skew_hadamard_matrix documentation
MatteoCati Jan 27, 2023
774d234
Fix docstring of GS_skew_hadamard_smallcases
MatteoCati Feb 6, 2023
a4315ad
Merge branch 'develop' into add_new_skew_hadamard_matrices
dimpase Feb 11, 2023
487b4d8
Merge branch 'develop' into add_new_skew_hadamard_matrices
dimpase Feb 13, 2023
09630de
Merge branch 'develop' into add_new_skew_hadamard_matrices
MatteoCati Feb 13, 2023
1f7f447
Fix docstrings
MatteoCati Feb 13, 2023
e122070
Add test for skew-normalizing matrix which is not skew
MatteoCati Feb 13, 2023
640f935
Merge branch 'develop' into add_new_skew_hadamard_matrices
dimpase Feb 15, 2023
8ee70be
replaced "Combining Caron"+c with one unicode character
dimpase Feb 19, 2023
f3ac064
Merge branch 'develop' into add_new_skew_hadamard_matrices
MatteoCati Feb 21, 2023
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53 changes: 51 additions & 2 deletions src/doc/en/reference/references/index.rst
Original file line number Diff line number Diff line change
Expand Up @@ -624,7 +624,7 @@ REFERENCES:
and variants*.
:arxiv:`1810.00789`

.. [BDKR2013] \D. Best, D.Z. Dokovic, H. Kharaghani and H. Ramp.
.. [BDKR2013] \D. Best, D.Ž. Đoković, H. Kharaghani and H. Ramp.
*Turyn-Type Sequences: Classification, Enumeration, and Construction*,
Journal of Combinatorial Designs 21(1) (2013): 24-35.
:doi:`10.1002/jcd.21318`
Expand Down Expand Up @@ -1216,6 +1216,11 @@ REFERENCES:
Proc. London Math. Soc. (3) **77** (1998), 551–581.
:mathscinet:`MR1643413`

.. [BS1969] \D. Blatt, G. Szekeres.
*A Skew Hadamard Matrix of Order 52*,
Canadian Journal of Mathematics 21 (1969): 1319-1322.
:doi:`10.4153/CJM-1969-144-2`

.. [BS1996] Eric Bach, Jeffrey Shallit. *Algorithmic Number Theory,
Vol. 1: Efficient Algorithms*. MIT Press, 1996. ISBN
978-0262024051.
Expand Down Expand Up @@ -2041,15 +2046,40 @@ REFERENCES:
and some constructions of de Luca and Rauzy*,
Theoret. Comput. Sci. 255 (2001) 539--553.

.. [Djo1992] \D. Đoković.
.. [Djo1992a] \D. Đoković.
*Construction of some new Hadamard matrices*,
Bulletin of the Australian Mathematical Society 45(2) (1992): 327-332.
:doi:`10.1017/S0004972700030185`

.. [Djo1992b] \D. Đoković.
*Skew Hadamard matrices of order 4 x 37 and 4 x 43*,
Journal of Combinatorial Theory, Series A 61(2) (1992): 319-321.
:doi:`10.1016/0097-3165(92)90029-T`

.. [Djo1992c] \D. Đoković.
*Ten New Orders for Hadamard Matrices of Skew Type*,
Publikacije Elektrotehničkog fakulteta. Serija Matematika 2 (1992): 47-59.

.. [Djo1994] \D. Đoković.
*Five New Orders for Hadamard Matrices of Skew Type*,
Australasian Journal of Combinatorics 10 (1994): 259-264.

.. [Djo2008a] \D. Đoković.
*Skew-Hadamard matrices of orders 188 and 388 exist*,
International Mathematical Forum 3 no.22 (2008): 1063-1068.
:arxiv:`0704.0640`

.. [Djo2008b] \D. Đoković.
*Skew-Hadamard matrices of orders 436, 580 and 988 exist*,
Journal of Combinatorial Designs 16 (2008): 493-498.
:arxiv:`0706.1973`

.. [Djo2023a] \D. Đoković.
*Skew-Hadamard matrices of order 276*.
:arxiv:`10.48550/ARXIV.2301.02751`

.. [Djo2023b] \D. Đoković, Email Communication. 26 January 2023.

.. [DK2013] John R. Doyle and David Krumm, *Computing algebraic
numbers of bounded height*, :arxiv:`1111.4963v4` (2013).

Expand Down Expand Up @@ -2397,6 +2427,11 @@ REFERENCES:
code, by I.A.Faradjev (with contributions by A.E.Brouwer,
D.V.Pasechnik). https://github.com/dimpase/coco

.. [FKS2004] \R. J. Fletcher, C. Koukouvinos and J. Seberry.
*New skew-Hadamard matrices of order 4·59 and new D-optimal designs of order 2·59*,
Discrete Mathematics 286(3) (2004): 251-253.
:doi:`10.1016/j.disc.2004.05.009`

.. [FL2001] David Forge and Michel Las Vergnas.
*Orlik-Solomon type algebras*. European J. Combin.
**22** (5), (2001). pp. 699-704.
Expand Down Expand Up @@ -5493,6 +5528,11 @@ REFERENCES:
:doi:`10.1007/978-1-4684-9322-1`,
ISBN 978-1-4684-9322-1.

.. [Spe1977] \E. Spence.
*Skew-Hadamard matrices of order 2(q + 1)*,
Discrete Mathematics 18(1) (1977): 79-85.
:doi:`10.1016/0012-365X(77)90009-7`

.. [Spe2013] \D. Speyer, *An infinitely generated upper cluster algebra*,
:arxiv:`1305.6867`.

Expand Down Expand Up @@ -5842,6 +5882,10 @@ REFERENCES:
Hall-Littlewood vertex operators and generalized Kostka polynomials.
Adv. Math. 158 (2001), no. 1, 66-85.

.. [Sze1988] \G. Szekeres.
*A note on skew type orthogonal ±1 matrices*,
Combinatorics, Colloquia Mathematica Societatis, Janos Bolyai, 52 (1988): 489-498.

.. _ref-T:

**T**
Expand Down Expand Up @@ -6122,6 +6166,11 @@ REFERENCES:
pages 150--168, 1932,
`available on JSTOR <http://www.jstor.org/stable/2371086>`_

.. [Whi1971] \A. Whiteman.
*An infinite family of skew Hadamard matrices*,
Pacific Journal of Mathematics 38(3) (1971): 817-822.
:doi:`10.2140/pjm.1971.38.817`

.. [White2015] Noah White.
*The monodromy of real Bethe vectors for the Gaudin model*.
J. Combin. Algebra, **2** no. 3 (2018). pp. 259-300.
Expand Down
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