Geodesic
Note on an Improvement of the Griesmer Bound for q-ary Linear Codes
Serdica Journal of Computing, Tome 5 (2011) no. 3, pp. 199-206

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Let nq(k, d) denote the smallest value of n for which an [n, k, d]q code exists for given integers k and d with k ≥ 3, 1 ≤ d ≤ q^(k−1) and a prime or a prime power q. The purpose of this note is to show that there exists a series of the functions h3,q, h4,q, ..., hk,q such that nq(k, d) can be expressed.
Keywords: Linear Codes, Griesmer Bound 
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     author = {Hamada, Noboru and Maruta, Tatsuya},
     title = {Note on an {Improvement} of the {Griesmer} {Bound} for q-ary {Linear} {Codes}},
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Hamada, Noboru; Maruta, Tatsuya. Note on an Improvement of the Griesmer Bound for q-ary Linear Codes. Serdica Journal of Computing, Tome 5 (2011) no. 3, pp. 199-206. http://geodesic.mathdoc.fr/item/SJC_2011_5_3_a0/