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Publications (40)

cs.IT2026

Upper bounds on the length of quasi-MDS codes

Umberto MartÃnez-PeÃ±as, RubÃ©n RodrÃguez-Ballesteros

The paper derives new upper bounds on the length of linear quasi‑MDS (QMDS) codes over finite fields by linking the problem to subspace packing and partial spread constructions fro…

Publications (40)

Upper bounds on the length of quasi-MDS codes

Sum-Rank BCH Codes and Cyclic-Skew-Cyclic Codes

Integer sequences that are generalized weights of a linear code

Unifying notions of generalized weights for universal security on wire-tap networks

Maximally recoverable codes with locality and availability

On asymptotically good ramp secret sharing schemes

Private Information Retrieval from Locally Repairable Databases with Colluding Servers

Theory and applications of linearized multivariate skew polynomials

Reliable and Secure Multishot Network Coding using Linearized Reed-Solomon Codes

Bounding the number of common zeros of multivariate polynomials and their consecutive derivatives

Linear codes in the folded Hamming distance and the quasi MDS property

Doubly and triply extended MSRD codes

Optimal anticodes, MSRD codes, and generalized weights in the sum-rank metric

Sum-rank metric codes

Evaluation and interpolation over multivariate skew polynomial rings

Refined analysis of RGHWs of code pairs coming from Garcia-Stichtenoth's second tower

Relative generalized matrix weights of matrix codes for universal security on wire-tap networks

The Clifford defect of a numerical semigroup

Universal and Dynamic Locally Repairable Codes with Maximal Recoverability via Sum-Rank Codes

Theory of supports for linear codes endowed with the sum-rank metric

Classification of multivariate skew polynomial rings over finite fields via affine transformations of variables

New constructions of MSRD codes

Skew and linearized Reed-Solomon codes and maximum sum rank distance codes over any division ring

On the roots and minimum rank distance of skew cyclic codes

Maximum Sum-Rank Distance Codes over Finite Chain Rings

A general family of MSRD codes and PMDS codes with smaller field sizes from extended Moore matrices

Hamming and simplex codes for the sum-rank metric

Distributed matrix multiplication with straggler tolerance using algebraic function fields

Zeros with multiplicity, Hasse derivatives and linear factors of general skew polynomials

Distributed matrix multiplication with straggler tolerance over very small field

Rank equivalent and rank degenerate skew cyclic codes

Locally Repairable Convolutional Codes with Sliding Window Repair

Zipper Codes

Generalized rank weights of reducible codes, optimal cases and related properties

Duals of multiplicity codes

Communication efficient and strongly secure secret sharing schemes based on algebraic geometry codes

Multilayer crisscross error and erasure correction

Universal secure rank-metric coding schemes with optimal communication overheads

Rank error-correcting pairs

On the similarities between generalized rank and Hamming weights and their applications to network coding