A new class of MDS symbol-pair codes
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The symbol-pair code is a new coding framework proposed to guard against pair-errors in symbol-pair read channels. Especially, a symbol-pair code with the parameters achieving the Singleton-type bound is called an MDS symbol-pair code. In this paper, inspiring by the classical construction for Reed-Solomon codes, for any 3≤ k<m≤ q-2 and m_1=⌊m/⌊k-1/2⌋⌋, we construct a class of q-ary MDS symbol-pair codes with dimension k and length n (n=m+m_1, m+m_1-1), where q is a prime power. Furthermore, for k∈{3,4}, the symbol-pair weight distributions for these codes are determined by enumerating the number of polynomials with given roots.
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