Fahim Rahim

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math.CO2022

Mutually orthogonal frequency rectangles

Fahim Rahim, Nicholas J. Cavenagh

A frequency rectangle of type FR $(m, n; q)$ is an $m \times n$ matrix such that each symbol from a set of size $q$ appears $n / q$ times in each row and $m / q$ times in each column. Two…

math.CO2022

Row-column factorial designs with strength at least $2$

Fahim Rahim, Nicholas J. Cavenagh

The $q^{k}$ (full) factorial design with replication $λ$ is the multi-set consisting of $λ$ occurrences of each element of each $q$ -ary vector of length $k$ ; we denote this by $λ\tim…

Mutually orthogonal frequency rectangles

Row-column factorial designs with strength at least 2

Row-column factorial designs with strength at least $2$