New binary sequence families from odd-characteristic elliptic function fields achieve length q+1+t, size q^{d-1}-1, balance ≤ (d+1)⌊2√q⌋+|t|+d, correlation ≤ (2d+1)⌊2√q⌋+|t|+2d, and linear complexity ≥ [q+1+2t-d-(d+1)⌊2√q⌋]/(d+d⌊2√q⌋).
New designs for signal sets with low cross correlation, balance property, and large linear span:GF(p)case
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A New Family of Binary Sequences via Elliptic Function Fields over Finite Fields of Odd Characteristics
New binary sequence families from odd-characteristic elliptic function fields achieve length q+1+t, size q^{d-1}-1, balance ≤ (d+1)⌊2√q⌋+|t|+d, correlation ≤ (2d+1)⌊2√q⌋+|t|+2d, and linear complexity ≥ [q+1+2t-d-(d+1)⌊2√q⌋]/(d+d⌊2√q⌋).