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Infinite families of perfect binary arrays

Infinite families of perfect binary arrays

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We construct four infinite families of perfect binary arrays. Jedwab and Mitchell have constructed some small perfect binary arrays using quasiperfect binary arrays and doubly quasiperfect binary arrays. We show that a doubly quasiperfect binary array is equivalent to a quasiperfect binary array. This means Jedwab and Mitchell's construction can be iterated to obtain larger perfect binary arrays.

References

    1. 1)
      • Constructing new perfect binary arrays
    2. 2)
      • Two-dimensional binary arrays with good autocorrelation
    3. 3)
      • On relative difference sets and projective planes
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