This paper presents some results on multiple error detection and correction based on the Redundant Residue Number System (RRNS). RRNS. Encoding and decoding, Mixed error detection and error correction R4.4, R*4.2. 3. Projective plane codes, Fano plane, quadratic residue codes R*4.3, Latin. Abstract: This paper presents an error detection and data recovery (EDDR) design, based on the residueand-...

In any communication system, the received signal will differ from the transmitted signal due to various transmission impairments. For analog signals, these impairments introduce various random modifications that degrade signal quality. For digital signals, bit errors are introduced: A binary 1 is changed into a binary 0 and vice versa. Increase in data rate of a digital transmission system incr...

Faithful transmission of quantum information is a crucial ingredient in quantum communication networks. To overcome the unavoidable decoherence in a noisy channel, to date, many efforts have been made to transmit one state by consuming large numbers of time-synchronized ancilla states. However, such huge demands of quantum resources are hard to meet with current technology and this restricts pr...

The disambiguation approach to the input of formulae enables the user to type correct formulae in a terse syntax close to the usual ambiguous mathematical notation. When it comes to incorrect formulae we want to present only errors related to the interpretation meant by the user, hiding errors related to other interpretations (spurious errors). We propose a heuristic to recognize spurious error...

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This paper advocates an improved solution for real-time error detection of texture errors that occurs in the production process in textile industry. The research is focused on the mono-color products with 3D texture model (Jaquard fabrics). This is a more difficult task than, for example, 2D multicolor textures.

We evaluated the effect of providing error-flagging, i.e., error detection but not error-correction support, during testing. We found that error-flagging is not a substitute for knowing the correct answer. It does not help students game the tutor. But, it does help students improve their test score.

We show that every formula over the basis {∧,∨,¬} for a function f : {0, 1} → {0, 1}, such that ∀x, y ∈ f−1(1), d(x, y) ≥ 2d+ 1,