Update history

• 7 October 2012 - added reference for size 56. (First Hadamard matrix was found by Scarpis.)
• 7 October 2012 - corrected reference to [OSDS] on page "A conference matrix construction for matrices of order N≡15 mod 16".
• 6 October 2012 - added Tamura's matrices and their Gram matrices in sizes 35, 39, 43, and 63 to their respective pages.
• 6 October 2012 - added two successive improvements in size 45 due to [BOOZ] using doubly-three-normalized constructions.
• 5 October 2012 - added records in sizes 78 and 94 found by Rokicki following Lars Backstrom's programming contest back in 2005.
• 3 October 2012 - added record in size 70 found by Orrick and Rokicki following Lars Backstrom's programming contest back in 2005.
• 2 October 2012 - added four new records from Hiroki Tamura to table in sizes 35, 39, 43, and 63. Record matrices and their Gram matrices, which have Ehlich block form, have not yet been added to the pages for the corresponding n.
• 30 August 2012 - removed statement in key about exceptions to the factorization rule used in the table, since it was no longer relevant. (Thanks to Richard Brent.)
• 30 August 2012 - corrected statement for n=19 that incorrectly stated that M₁ and M₂ had not been proved to be the only maximal forms. (Thanks to Richard Brent for this correction.)
• 30 August 2012 - added reference to Djokovic and Kotsireas's construction of D-optimal designs of orders 206, 242, 262, and 482 to the bounds page and to the bibliography ([DK]. (Thanks to Ilias Kotsireas.)
• 20 December 2011 - noted that the designs for n=19 and n=37 have been proved maximal [BOOZ] and the three designs for n=19 have been shown to be a complete set.
• 3 August 2009 - created determinant spectrum page with subsidiary pages for n=12, 13, 14, 15, 16, 17.
• 3 May 2007 - added reference to Gysin's construction of a D-optimal design of order 170 to the bounds page and to the bibliography ([Gys]. (Pointed out by Hadi Kharaghani.)
• 13 November 2005 - added reference to [CKM1] relating to the maximal determinant in order 18.
• 12 November 2005 - added new record in order 27, new record in order 31, and new record in order 59, matrices found by Hiroki Tamura.
• 12 November 2005 - added new record in order 115 and new record in order 119, two-circulant constructions discovered by Tomas Rokicki.
• 10 November 2005 - added new record in order 107 and new record in order 111, two-circulant constructions discovered by Tomas Rokicki.
• 8 November 2005 - added new record in order 79, new record in order 83, new record in order 87, new record in order 91, new record in order 95, new record in order 99, and new record in order 103, all of which are two-circulant constructions discovered by Tomas Rokicki.
• 6 November 2005 - added complete list of inequivalent maximal determinant matrices in order 21 found by W. Orrick [O3].
• 6 November 2005 - added additional record determinant matrix found by W. Orrick and B. Solomon in order 19.
• 6 November 2005 - added complete list of inequivalent maximal determinant matrices in order 17.
• 5 November 2005 - modified comments and references concerning numbers of inequivalent designs in orders 10, 11, and 14.
• 18 September 2005 - added references to recent work on classification of Hadamard matrices of order 36 ([BFW] and [O2]).
• 7 September 2005 - added new record in order 101, discovered by Will Orrick and Bruce Solomon on December 8, 2003.
• 4 September 2005 - added new record in order 71 and new record in order 75, two-circulant constructions discovered by Tomas Rokicki.
• 30 August 2005 - added new record in order 67, two-circulant construction discovered by Tomas Rokicki.
• 27 August 2005 - added new record in order 59, two-circulant construction discovered by Tomas Rokicki and independently found by Ivan Kazmenko and Vadim Trofimov.
• 27 August 2005 - added new record in order 55, two-circulant construction discovered by Tomas Rokicki and independently found by Ivan Kazmenko and Vadim Trofimov and by Jean-Charles Meyrignac and Jaroslaw Wroblewski.
• 26 April 2005 - added new record in order 51, two-circulant construction discovered by Tomas Rokicki and independently found by Ivan Kazmenko and Vadim Trofimov and by Jean-Charles Meyrignac and Jaroslaw Wroblewski.
• 25 April 2005 - added new record in order 43, two-circulant construction discovered by Tomas Rokicki and independently found by Ivan Kazmenko and Vadim Trofimov and by Jean-Charles Meyrignac and Jaroslaw Wroblewski.
• 24 April 2005 - added new record in order 106, discovered by Will Orrick.
• 24 April 2005 - updated values of determinants found by Tomas Rokicki in orders 105 and 109.
• 22 April 2005 - added new record in order 85, discovered by Will Orrick and Bruce Solomon on December 8, 2003.
• 21 April 2005 - added new record in order 57, discovered by Jean-Charles Meyrignac by hill climbing from a matrix constructed by Bertram Felgenhauer during the Lars' programming contest.
• 19 April 2005 - added new record in order 35, two-circulant construction discovered by Tomas Rokicki and independently found by Ivan Kazmenko and Vadim Trofimov and by Jean-Charles Meyrignac and Jaroslaw Wroblewski.
• 19 April 2005 - added new record in order 34, two-circulant construction with border, found by Will Orrick
• 14 April 2005 - extended table to include Hadamard matrix in order 116, D-optimal design in order 118 (Fletcher, Koukouvinos, and Seberry), and new records found by Tomas Rokicki in orders 117 and 119. Since the latter are still in daily flux, only stub pages were created.
• 12 April 2005 - extended table to include Hadamard matrices in orders 104, 108, and 112, Brouwer design in order 113, D-optimal designs in orders 110 (Fletcher and Seberry) and 114 (Koukouvinos, Kounias, and Seberry), and new records found by Tomas Rokicki in orders 105, 106, 107, 109, 111, and 115. Since the latter are still in daily flux, only stub pages were created.
• 8 April 2005 - added new record in order 78, Ehlich-type construction with circulant blocks discovered by Tomas Rokicki
• 7 April 2005 - added new record in order 58, Ehlich-type construction with circulant blocks discovered by Tomas Rokicki and independently by Ivan Kazmenko and Vadim Trofimov
• 6 April 2005 - added new record in order 39, a circulant matrix discovered by Tomas Rokicki