Home Research Publications Academic Activities Curriculum Vitae Some Useful Links Contact Information	Publications A. Sharma and Saroj Rani, Repeated-root constacyclic codes of length 4\ell^mp^n, Finite Fields and their Applications, accepted (2016). A. Sharma, On cyclic codes of length p^n\ell^m over a finite field, International Journal of Information and Coding Theory, accepted (2016). A. Sharma and Saroj Rani, On constacyclic codes over finite fields, Cryptography and Communications, accepted (2015). A. Sharma and Amit K. Sharma, Construction of self-dual codes over Z_{2^m}, Cryptography and Communications, accepted (2015). A. Sharma, Simple-root negacyclic codes of length 2p^n\ell^m over a finite field, Journal of the Korean Mathematical Society, accepted (2015). A. Sharma, Self-dual and self-orthogonal negacyclic codes of Length 2^mp^n over a finite field, Discrete Mathematics 338, no. 4 (2015) pp. 576-592. A. Sharma, Repeated-root constacyclic codes of length \ell^tp^s and their dual codes, Cryptography and Communications 7, no. 2 (2015) pp. 229-255. A. Sharma & Amit K. Sharma, Byte weight enumerators and modular forms of genus r, Journal of Algebra and its Applications 14, no. 6 (2015) (25 pages). A. Sharma & Amit K. Sharma, A note on weight distributions of irreducible cyclic codes, Discrete Mathematics, Algorithms and Applications 6, no. 3 (2014) (17 pages). Amit K. Sharma & A. Sharma, MacWilliams identities for weight enumerators with respect to the RT metric, Discrete Mathematics, Algorithms and Applications 6, no. 2 (2014) (11 pages). A. Sharma & G. K. Bakshi, Polyadic codes of prime power length II, Ars Combinatoria, 117 (2014) pp. 9--31. A. Sharma & Amit K. Sharma, MacWilliams identities for m-spotty weight enumerators of codes over rings, Australasian Journal of Combinatorics 58, no. 1 (2014) pp. 67--105 A. Sharma & Amit K. Sharma, On some new m-spotty Lee weight enumerators, Designs, Codes and Cryptography 71 (2014) pp. 119--152. A. Sharma & Amit K. Sharma, On a g-fold joint m-spotty Lee weight enumerator, Discrete Mathematics 313, no. 20 (2013) pp. 2150--2161. A. Sharma & Amit K. Sharma, On MacWilliams type identities for r-fold joint m-spotty weight enumerators, Discrete Mathematics 312, no. 22 (2012) pp. 3316–-3327. A. Sharma & Amit K. Sharma, MacWilliams type identities for some new m-spotty weight enumerators, IEEE Transactions on Information Theory 58, no. 6 (2012) pp. 3912-3924. A. Sharma & S. Bala, On the weight distributions of some q-ary cyclic codes, Ars Combinatoria, in press (2012). A. Sharma & G. K. Bakshi, The weight distributions of some irreducible cyclic codes, Finite Fields Appl. 18, no. 1 (2012) pp. 144-159. A. Sharma & S. Bala, The weight distributions of some binary cyclic codes, Ars Combinatoria, in press (2011). G. K. Bakshi, M. Raka & A. Sharma, Idempotent generators of irreducible cyclic codes, Number theory & discrete geometry, Ramanujan Math. Soc. Lect. Notes Ser. 6, Ramanujan Math. Soc., Mysore (2008) pp. 13--18. G. K. Bakshi, M. Raka & A. Sharma, Existence of polyadic codes in terms of Diophantine equations, Diophantine equations, Tata Inst. Fund. Res. Stud. Math. 20, Tata Inst. Fund. Res., Mumbai (2008) pp. 33--48. A. Sharma, G. K. Bakshi, V. C. Dumir & M. Raka, Irreducible cyclic codes of length 2ⁿ, Ars Combinatoria 86 (2008) pp. 133-146. A. Sharma, G. K. Bakshi & M. Raka, The weight distributions of irreducible cyclic codes of length 2^m, Finite Fields Appl. 13, no. 4 (2007) pp. 1086-1095. A. Sharma, G. K. Bakshi & M. Raka, Polyadic codes of prime power length, Finite Fields Appl. 13, no. 4 (2007) pp. 1071-1085. A. Sharma, G. K. Bakshi & M. Raka, Irreducible cyclic codes of length 2pⁿ , Ars Combinatoria 83 (2007) pp. 267-278. A. Sharma, G. K. Bakshi, V. C. Dumir & M. Raka, Cyclotomic numbers and primitive idempotents in the ring GF(q)[x]/ (x^pⁿ -1), Finite Fields Appl. 10, no. 4 (2004) pp. 653-673.

Publications

A. Sharma and Saroj Rani, Repeated-root constacyclic codes of length 4\ell^mp^n, Finite Fields and their Applications, accepted (2016).
A. Sharma, On cyclic codes of length p^n\ell^m over a finite field, International Journal of Information and Coding Theory, accepted (2016).
A. Sharma and Saroj Rani, On constacyclic codes over finite fields, Cryptography and Communications, accepted (2015).
A. Sharma and Amit K. Sharma, Construction of self-dual codes over Z_{2^m}, Cryptography and Communications, accepted (2015).
A. Sharma, Simple-root negacyclic codes of length 2p^n\ell^m over a finite field, Journal of the Korean Mathematical Society, accepted (2015).
A. Sharma, Self-dual and self-orthogonal negacyclic codes of Length 2^mp^n over a finite field, Discrete Mathematics 338, no. 4 (2015) pp. 576-592.
A. Sharma, Repeated-root constacyclic codes of length \ell^tp^s and their dual codes, Cryptography and Communications 7, no. 2 (2015) pp. 229-255.
A. Sharma & Amit K. Sharma, Byte weight enumerators and modular forms of genus r, Journal of Algebra and its Applications 14, no. 6 (2015) (25 pages).
A. Sharma & Amit K. Sharma, A note on weight distributions of irreducible cyclic codes, Discrete Mathematics, Algorithms and Applications 6, no. 3 (2014) (17 pages).
Amit K. Sharma & A. Sharma, MacWilliams identities for weight enumerators with respect to the RT metric, Discrete Mathematics, Algorithms and Applications 6, no. 2 (2014) (11 pages).
A. Sharma & G. K. Bakshi, Polyadic codes of prime power length II, Ars Combinatoria, 117 (2014) pp. 9--31.
A. Sharma & Amit K. Sharma, MacWilliams identities for m-spotty weight enumerators of codes over rings, Australasian Journal of Combinatorics 58, no. 1 (2014) pp. 67--105
A. Sharma & Amit K. Sharma, On some new m-spotty Lee weight enumerators, Designs, Codes and Cryptography 71 (2014) pp. 119--152.
A. Sharma & Amit K. Sharma, On a g-fold joint m-spotty Lee weight enumerator, Discrete Mathematics 313, no. 20 (2013) pp. 2150--2161.
A. Sharma & Amit K. Sharma, On MacWilliams type identities for r-fold joint m-spotty weight enumerators, Discrete Mathematics 312, no. 22 (2012) pp. 3316–-3327.
A. Sharma & Amit K. Sharma, MacWilliams type identities for some new m-spotty weight enumerators, IEEE Transactions on Information Theory 58, no. 6 (2012) pp. 3912-3924.
A. Sharma & S. Bala, On the weight distributions of some q-ary cyclic codes, Ars Combinatoria, in press (2012).
A. Sharma & G. K. Bakshi, The weight distributions of some irreducible cyclic codes, Finite Fields Appl. 18, no. 1 (2012) pp. 144-159.
A. Sharma & S. Bala, The weight distributions of some binary cyclic codes, Ars Combinatoria, in press (2011).
G. K. Bakshi, M. Raka & A. Sharma, Idempotent generators of irreducible cyclic codes, Number theory & discrete geometry, Ramanujan Math. Soc. Lect. Notes Ser. 6, Ramanujan Math. Soc., Mysore (2008) pp. 13--18.
G. K. Bakshi, M. Raka & A. Sharma, Existence of polyadic codes in terms of Diophantine equations, Diophantine equations, Tata Inst. Fund. Res. Stud. Math. 20, Tata Inst. Fund. Res., Mumbai (2008) pp. 33--48.
A. Sharma, G. K. Bakshi, V. C. Dumir & M. Raka, Irreducible cyclic codes of length 2ⁿ, Ars Combinatoria 86 (2008) pp. 133-146.
A. Sharma, G. K. Bakshi & M. Raka, The weight distributions of irreducible cyclic codes of length 2^m, Finite Fields Appl. 13, no. 4 (2007) pp. 1086-1095.
A. Sharma, G. K. Bakshi & M. Raka, Polyadic codes of prime power length, Finite Fields Appl. 13, no. 4 (2007) pp. 1071-1085.
A. Sharma, G. K. Bakshi & M. Raka, Irreducible cyclic codes of length 2pⁿ , Ars Combinatoria 83 (2007) pp. 267-278.
A. Sharma, G. K. Bakshi, V. C. Dumir & M. Raka, Cyclotomic numbers and primitive idempotents in the ring GF(q)[x]/ (x^pⁿ -1), Finite Fields Appl. 10, no. 4 (2004) pp. 653-673.