• [1] W. W. Rouse Ball, Mathematical Recreations and Essays, The Macmillan Company, New York, 1947. Revised by H. S. M. Coxeter. MR 0019629
• [2] R. C. Bose, On the construction of balanced incomplete block designs, Ann. Eugenics 9 (1939), 353–399. MR 0001221
• [3] R. C. Bose, A note on the resolvability of balanced incomplete designs, Sankhyā 6 (1942), 105–110. MR 0008064
• [4] R. C. Bose, Mathematical theory of the symmetrical factorial design, Sankhyā 8 (1947), 107–166. MR 0026781
• [5] -, A note on orthogonal arrays, Ann. Math. Statist. vol. 21 (1950) pp. 304-305 (abstract).
• [6] -, On the application of finite projective geometry for deriving a certain series of balanced Kirkman arrangements, Bull. Calcutta Math. Soc. Silver Jubilee vol. 51 (1959).
• [7] R. C. Bose and W. S. Connor, Combinatorial properties of group divisible incomplete block designs, Ann. Math. Statistics 23 (1952), 367–383. MR 0049144
• [8] R. C. Bose, S. S. Shrikhande, and K. N. Bhattacharya, On the construction of group divisible incomplete block designs, Ann. Math. Statistics 24 (1953), 167–195. MR 0055964
• [9] R. C. Bose and S. S. Shrikhande, On the falsity of Euler’s conjecture about the non-existence of two orthogonal Latin squares of order 4𝑡+2, Proc. Nat. Acad. Sci. U.S.A. 45 (1959), 734–737. MR 0104590
• [10] K. A. Bush, A generalization of a theorem due to MacNeish, Ann. Math. Statistics 23 (1952), 293–295. MR 0049145
• [11] K. A. Bush, Orthogonal arrays of index unity, Ann. Math. Statistics 23 (1952), 426–434. MR 0049146
• [12] O. Eckenstein, Bibliography of Kirkman's school girl problem, Messenger of Math. vol. 41 (1911-1912) pp. 33-36.
• [13] L. Euler, Recherches sur une nouvelle espéce des quarres magiques, Verh. zeeuwsch Genoot. Wetenschappen vol. 9 (1782) pp. 85-239.
• [14] F. W. Levi, Finite Geometrical Systems, University of Calcutta, Calcutta, 1942. MR 0006834
• [15] H. F. MacNeish, Das problem der offiziere, Jber. Deutsch. Math. Verein. vol. 30 (1921) pp. 151-153.
• [16] Harris F. MacNeish, Euler squares, Ann. of Math. (2) 23 (1922), no. 3, 221–227. MR 1502613, https://doi.org/10.2307/1967920
• [17] Henry B. Mann, The construction of orthogonal Latin squares, Ann. Math. Statistics 13 (1942), 418–423. MR 0007736
• [18] E. T. Parker, Construction of some sets of pairwise orthogonal Latin squares, Abstract 553-67, Notices Amer. Math. Soc. vol. 5 (1958) p. 815.
• [19] J. Peterson, Les officers, Ann. of Math. (1901-1902) pp. 413-427.
• [20] P. Wernicke, Das problem der offiziere, Jber. Deutsch. Math. Verein. vol. 19 (1910) pp. 264-267.
• [21] F. Yates, Incomplete randomized blocks, Ann. of Eugen. London vol. 7 (1936) pp. 121-140.

Bibliography

[1]

W. W. R. Ball, Mathematical recreations and essays, revised by H. S. M. Coxeter, London Macmillan and Co. Ltd., 1942. MR 0019629 (8:440b)

[2]

R. C. Bose, On the construction of balanced incomplete block designs, Ann. of Eugen. London vol. 9 (1939) pp. 353-399. MR 0001221 (1:199b)

[3]

-, A note on the resolvability of balanced incomplete block designs, Sankhyā vol. 6 (1942) pp. 105-110. MR 0008064 (4:237a)

[4]

-, Mathematical theory of the symmetrical factorial design, Sankhyā vol. 8 (1947) pp. 107-166. MR 0026781 (10:201g)

[5]

-, A note on orthogonal arrays, Ann. Math. Statist. vol. 21 (1950) pp. 304-305 (abstract).

[6]

-, On the application of finite projective geometry for deriving a certain series of balanced Kirkman arrangements, Bull. Calcutta Math. Soc. Silver Jubilee vol. 51 (1959).

[7]

R. C. Bose and W. S. Connor, Combinatorial properties of group divisible incomplete block designs, Ann. Math. Statist. vol. 23 (1952) pp. 367-383. MR 0049144 (14:124e)

[8]

R. C. Bose, S. S. Shrikhande and K. N. Bhattacharya, On the construction of group divisible incomplete block designs, Ann. Math. Statist. vol. 24 (1953) pp. 167-195. MR 0055964 (15:3c)

[9]

R. C. Bose and S. S. Shrikhande, On the falsity of Euler's conjecture about the non-existence of two orthogonal Latin squares of order , Proc. Nat. Acad. Sci. U.S.A. vol. 45 (1959) pp. 734-737. MR 0104590 (21:3343)

[10]

K. A. Bush, A generalization of a theorem due to MacNeish, Ann. Math. Statist. vol. 23 (1952) pp. 293-295. MR 0049145 (14:125a)

[11]

-, Orthogonal arrays of index unity, Ann. Math. Statist. vol. 23 (1952) pp. 426-434. MR 0049146 (14:125b)

[12]

O. Eckenstein, Bibliography of Kirkman's school girl problem, Messenger of Math. vol. 41 (1911-1912) pp. 33-36.

[13]

L. Euler, Recherches sur une nouvelle espéce des quarres magiques, Verh. zeeuwsch Genoot. Wetenschappen vol. 9 (1782) pp. 85-239.

[14]

F. W. Levi, Finite geometrical systems, University of Calcutta, 1942. MR 0006834 (4:49f)

[15]

H. F. MacNeish, Das problem der offiziere, Jber. Deutsch. Math. Verein. vol. 30 (1921) pp. 151-153.

[16]

-, Euler's squares, Ann. of Math. vol. 23 (1922) pp. 221-227. MR 1502613

[17]

H. B. Mann, The construction of orthogonal Latin squares, Ann. Math. Statist. vol. 13 (1942) pp. 418-423. MR 0007736 (4:184b)

[18]

E. T. Parker, Construction of some sets of pairwise orthogonal Latin squares, Abstract 553-67, Notices Amer. Math. Soc. vol. 5 (1958) p. 815.

[19]

J. Peterson, Les officers, Ann. of Math. (1901-1902) pp. 413-427.

[20]

P. Wernicke, Das problem der offiziere, Jber. Deutsch. Math. Verein. vol. 19 (1910) pp. 264-267.

[21]

F. Yates, Incomplete randomized blocks, Ann. of Eugen. London vol. 7 (1936) pp. 121-140.