In this paper we provide a $4$-GDD of type $2^2 5^5$, thereby solving the existence question for last remaining feasible with no more than $30$ points. We then show that $4$-GDDs $2^t 5^s$ exist all but finite specified set pairs $(t,s)$.

Up to isomorphism there are four symmetric (36,15,6) designs with automorphisms of order 7. Full automorphism group of one of them is the Chevalley group G(2, 2) ~ U(3,3) : Z2 of order 12096. Unitary group U(3,3) acts transitively on that design.

Group-randomized trials are characterised by the allocation of identifiable groups rather than individuals to study conditions; members within those groups are then observed to assess the effect of the intervention. It is convenient to categorize the designs employed in group-randomized trials along two dimensions, each with two levels. The first distinguishes between designs having just one or...

A new class of cyclic codes that is Reed-Solomon codes are discussed for IEEE 802.16 wireless networks. Reed-Solomon codes are used for the error detection and correction in communication systems. This is important in information theory and coding to correct burst errors. Here Reed-Solomon code for wireless network 802.16 is synthesized using VHDL on Xilinx and simulated on ISE simulator. The R...

Library. Block sublibrary of Error Detection and Correction An (N,K) Reed-Solomon code can correct up to floor((N-K)/2) symbol errors (not bit errors) in each. Schifra Reed Solomon Error Correcting Library. Contribute to schifra Schifra C++ Reed-Solomon Error Correcting Code Library sch... ... ...ifra.com. An interactive demo of Reed-Solomon error correction coding. detail and allows the user t...

Let R be the Z-module generated by the irreducible characters of the symmetric group Sd . We determine bases for the kernel of the decomposition map. It is known that R ⊗Z F is isomorphic to the radical quotient of the Solomon descent algebra when F is a field of characteristic zero. We show that when F has prime characteristic and I d br is the kernel of the decomposition map for prime p then ...

The study aimed at investigating the effects of using animations in teaching Kiswahili reading comprehension on students achievement among secondary school students’ Njoro Sub- County Kenya. Solomon Four Non-Equivalent control group design was used study. Target Population comprised all 14,292 public co-educational schools Sub County. accessible population included 4,745 Form Two from Sub-count...