# Category Archives: coding theory

## https://arxiv.org/pdf/1504.04885.pdf

Quaternion formalism and physics, 1880-1940

## Averaging

Does the action of the averaging operator factorize the dimension of the wheel in to the substances of the wheel writings?

## Colossus c(l) osets vs statistics

It’s now clear to me that while good et al thought of the attack on tunny in purely statistical theory, Newman and Turing thought of it in terms of topology (and log linear multinomials) We have yet to see a … Continue reading

## Metadata on trump

When I wrote my last memo I didn’t know that it was part of a wider maelstrom. It’s clear that the Truisms of all American (cum British) lying are abound; with definitional lying at the fore. In my Era, pre … Continue reading

## Gchq spying on trum

“based on the information available to us, we see no indications that Trump Tower was the subject of surveillance by any element of the United States government either before or after Election Day 2016.” As I recall when deniability is … Continue reading

## Turings on permutations focus on mean = 1

Finally I understand the meaning of the mean being 1. Id figured a while ago that he was interested in the shuffle around 1. But now we get that in eigenvector explanation (which is better than the shuffle!) any distribution … Continue reading

## Constant functions, in Turing op paper

http://www.stat.uchicago.edu/~pmcc/reports/quotient.pdf Professional version of my similar drivel at https://yorkporc.wordpress.com/2013/10/10/turings-quantum-of-informationa-typex-wheel-wiring-plan-predating-shannons-information-theory/

## https://www.maths.tcd.ie/pub/Maths/Courseware/GroupRepresentations/FiniteGroups.pdf

One d reps of groups , per Turing almost exactly here This is the second paper with modern presentation of two of the argumentation devices Turing used in on permutations. First we finally understand the why of wanting to establish … Continue reading

## CiteSeerX — GROUP THEORY IN CRYPTOGRAPHY

http://citeseerx.ist.psu.edu/viewdoc/summary;jsessionid=349DB81FF478DC49989540C68EAE06EF?doi=10.1.1.249.1882 see 3.4 log signature s

## on permutations and lie algebras

if we reanalyze turings final argument can we say that he is testing for a given representation being one that is a group, given a lie algebra and its generator? he really says that g has subgroup h which … Continue reading

## The PDF for Lie groups and algebras for physicists

https://www.liealgebrasintro.com/publications let me see two turing arguments

## eigenvalues of random matrices. turings kernel K

https://case.edu/artsci/math/esmeckes/Haar_notes.pdf i like this writer. she doesnt lose the point with endless symbols.

## lovely Turing mixer theory

## Accumulation Point — from Wolfram MathWorld

http://mathworld.wolfram.com/AccumulationPoint.html this is the sense of turing- the point at which the measure of diffusion (of colinear differentials in crypto) has become chaotic recall turing used a doubly transitive operator to mix the plaintext differentials within the output space

## Linear representation theory of quaternion group – Groupprops

https://groupprops.subwiki.org/wiki/Linear_representation_theory_of_quaternion_group Center and zero More great Turing View as CPU design, instruction set for rational – i.e. Probability densities seen in cryptanalysis View in terms of early comp sci, searching for a computable group (suited to improbability calculus)

## Subgroup structure of quaternion group – Groupprops

https://groupprops.subwiki.org/wiki/Subgroup_structure_of_quaternion_group Relate center to quotient as Klein. We saw this in tunny

## Quaternion group picture

http://math.stackexchange.com/questions/1971591/quaternion-group Contrast with fano plane which holds for octionions

## More Turing simila

Turings on permutation argument http://math.stackexchange.com/questions/866026/quaternion-group-as-permutation-group

## Eigenvalues and eigenkets in turings on permutations

Looking at turnings overall argument form, I now see that he does address pure states. When he talks about those group element with particular discriminators,these are the eigenkets for his rotational (pre-measurement) operator. His system is still constrained to be … Continue reading

## Metric and Topological Spaces index

http://www-history.mcs.st-and.ac.uk/~john/MT4522/index.html excellent uk teaching. as turing was taught it.

## Fano plane – WikiVisually

http://wikivisually.com/wiki/Fano_plane Back to the future Gives a nice notion of distance for measurable probability densities such as those found in Markova ciphers resisting 1943 era differential cryptanalysis

## http://www.ams.org/journals/bull/1931-37-12/S0002-9904-1931-05281-2/S0002-9904-1931-05281-2.pdf

The Turing era teaching on doubly transitive and a sequence of h1….hi, playing the role of n des rounds making a markov cipher