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Main Authors:	Haugland, Jan Kristian, Omland, Tron
Format:	Preprint
Published:	2024
Subjects:	Combinatorics Cryptography and Security Discrete Mathematics Information Theory Dynamical Systems
Online Access:	https://arxiv.org/abs/2411.00721
Tags:	Add Tag No Tags, Be the first to tag this record!

When does a bent concatenation not belong to the completed Maiorana-McFarland class?
by: Kudin, Sadmir, et al.
Published: (2024)

Millions of inequivalent quadratic APN functions in eight variables
by: Beierle, Christof, et al.
Published: (2025)

Structural Properties of Non-Linear Cellular Automata: Permutivity, Surjectivity and Reversibility
by: Ramdhane, Firas Ben, et al.
Published: (2025)

ORBITAAL: A Temporal Graph Dataset of Bitcoin Entity-Entity Transactions
by: Coquidé, Célestin, et al.
Published: (2024)

On the matching arrangement of a graph, improper weight function problem and its application
by: Bolotnikov, Aleksey, et al.
Published: (2024)

On Maximal Families of Binary Polynomials with Pairwise Linear Common Factors
by: Gadouleau, Maximilien, et al.
Published: (2024)

Topological transitivity of group cellular automata is decidable
by: Castronuovo, Niccolò, et al.
Published: (2026)

Algebraic characterization of dendricity
by: Gheeraert, France, et al.
Published: (2024)

The structure of quasi-transitive graphs avoiding a minor with applications to the domino problem
by: Esperet, Louis, et al.
Published: (2023)

On Gottschalk's surjunctivity conjecture for non-uniform cellular automata
by: Phung, Xuan Kien
Published: (2025)

Combinatorial Designs and Cellular Automata: A Survey
by: Manzoni, Luca, et al.
Published: (2025)

On the periodic decompositions of multidimensional configurations
by: Herva, Pyry, et al.
Published: (2024)

Periodicity and local complexity of Delone sets
by: Herva, Pyry, et al.
Published: (2025)

FO logic on cellular automata orbits equals MSO logic
by: Theyssier, Guillaume
Published: (2024)

PoW Security-Latency under Random Delays and the Effect of Transaction Fees
by: Doger, Mustafa, et al.
Published: (2024)

Transaction Capacity, Security and Latency in Blockchains
by: Doger, Mustafa, et al.
Published: (2024)

Refined Bitcoin Security-Latency Under Network Delay
by: Doger, Mustafa, et al.
Published: (2022)

Characterization of the set of zero-noise limits measures of perturbed cellular automata
by: Marsan, Hugo, et al.
Published: (2024)

Almost perfect nonlinear power functions with exponents expressed as fractions
by: Katz, Daniel J., et al.
Published: (2023)

On elementary cellular automata asymptotic (a)synchronism sensitivity and complexity
by: Leiva, Isabel Donoso, et al.
Published: (2023)

Double Spending Analysis of Nakamoto Consensus for Time-Varying Mining Rates with Ruin Theory
by: Doger, Mustafa, et al.
Published: (2024)

An Incentive-Compatible Semi-Parallel Proof-of-Work Protocol
by: Doger, Mustafa, et al.
Published: (2025)

When Should Selfish Miners Double-Spend?
by: Doger, Mustafa, et al.
Published: (2025)

On the Maiorana-McFarland Class Extensions
by: Kolomeec, Nikolay, et al.
Published: (2025)

Permutation and Multi-permutation Codes Correcting Multiple Deletions
by: Wang, Shuche, et al.
Published: (2024)

Constructing $k$-ary Orientable Sequences with Asymptotically Optimal Length
by: Gabrić, Daniel, et al.
Published: (2024)

Evaluating the Gilbert-Varshamov Bound for Constrained Systems
by: Goyal, Keshav, et al.
Published: (2024)

Gilbert-Varshamov Bound for Codes in $L_1$ Metric using Multivariate Analytic Combinatorics
by: Goyal, Keshav, et al.
Published: (2024)

Improved Upper Bound for the Size of a Trifferent Code
by: Bhandari, Siddharth, et al.
Published: (2024)

Universal cycle constructions for k-subsets and k-multisets
by: Campbell, Colin, et al.
Published: (2026)

Optimal Erasure Codes and Codes on Graphs
by: Chen, Yeyuan, et al.
Published: (2025)

Generalized Three and Four Person Hat Game
by: van Uem, Theo
Published: (2017)

Threshold rates for properties of random codes
by: Guruswami, Venkatesan, et al.
Published: (2020)

Asymptotic Rate Bounds and Constructions for the Inclusive Variant of Disjunct Matrices
by: Mizunuma, Yuto, et al.
Published: (2026)

The Labeled Coupon Collector Problem
by: Tan, Andrew, et al.
Published: (2025)

Decoding universal cycles for t-subsets and t-multisets by decoding bounded-weight de Bruijn sequences
by: Gabric, Daniel, et al.
Published: (2026)

Reconstructing graphs with subgraph compositions
by: Dailly, Antoine, et al.
Published: (2025)

On Average Distance, Level-1 Fourier Weight, and Chang's Lemma
by: Yu, Lei
Published: (2025)

On the Codebook Design for NOMA Schemes from Bent Functions
by: Li, Chunlei, et al.
Published: (2025)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

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