Abstract
In the paper Patterson–Wiedemann construction revisited by Gangopadhyay et al. (2006), modifying an idempotent function f:GF(221)→GF(2), which corresponds to a (337,(127)(49))-interleaved sequence whose columns are either all 0’s or 1’s, a balanced function h having Δh<221+12 is obtained. In this short note, we find that Δf is computed incorrectly in their paper (leading to Δh≮221+12) and correct their result by disproving the related conjecture for the 21-variable balanced functions.
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