An affine design with v = m2h and k = m2h?1 not equivalent to a complete set of F(mh; mh?1) MOFS

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1520-6610(1999)7:5<331::AID-JCD4>3.0.CO;2-5" /><331::AID-JCD4>3.0.CO;2-5 10.1002/(SICI)1520-6610(1999)7:5<331::AID-JCD4>3.0.CO;2-5zbMath0933.05023OpenAlexW2093375923MaRDI QIDQ4262991

Charles F. Laywine

Publication date: 4 April 2000

Full work available at URL: https://doi.org/10.1002/(sici)1520-6610(1999)7:5<331::aid-jcd4>3.0.co;2-5

zbMATH Keywords

Latin squareaffine planesaffine resolvable design\(F\)-squarescomplete set of mutually orthogonal frequency squares

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (1)

The geometry of frequency squares

Cites Work

• Polynomial representation of complete sets of mutually orthogonal frequency squares of prime power order
• Generalizations of Bose's equivalence between complete sets of mutually orthogonal Latin squares and affine planes
• Nonisomorphic complete sets of orthogonal f-squares and hadamard matrices
• Non-isomorphic solutions of some balanced incomplete block designs. I

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