HRS codes achieve Schur square dimension (2t-2s+1)s under p≥t≥2s and t≤(r+2s-1)/2, equaling t(t+1)/2 when t=2s and r≥t+1, matching random codes.
On products and powers of linear codes under componentwise multiplication.Algorithmic arithmetic, geometry, and coding theory, 637(3-78):32
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The dimensions of Schur squares of HRS codes
HRS codes achieve Schur square dimension (2t-2s+1)s under p≥t≥2s and t≤(r+2s-1)/2, equaling t(t+1)/2 when t=2s and r≥t+1, matching random codes.