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We construct several cyclic $(v;k_1,k_2,k_3;\lambda)$ difference familieswith $v\equiv3 \pmod{4}$ a prime and $\lambda=k_1+k_2+k_3-(3v-1)/4$. Suchfamilies can be used in conjunction with the well-known Paley-Todd differencesets to construct skew-Hadamard matrices of order $4v$. Our main result is thatwe have constructed for the first time the example of skew-Hadamard matrices oforders $4\cdot239=956$ and $4\cdot331=1324$.

A class of cyclic $(v;k_1,k_2,k_3;\lambda)$ difference families with $v \equiv 3 \pmod{4}$ a prime