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Get to know Isogeny better with 4 real example sentences, the meaning.

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Isogeny in a sentence

Isogeny meaning

  1. The condition of being isogenous.
  2. An epimorphism of group schemes that is surjective and has a finite kernel.

Using Isogeny

  • The main meaning on this page is: The condition of being isogenous. | An epimorphism of group schemes that is surjective and has a finite kernel.
  • In the example corpus, isogeny often appears in combinations such as: supersingular isogeny.

Context around Isogeny

  • Average sentence length in these examples: 30.3 words
  • Position in the sentence: 3 start, 1 middle, 0 end
  • Sentence types: 4 statements, 0 questions, 0 exclamations

Often before:

supersingular 2×

Often after:

let 1× key 1× diffie 1×

Sentence patterns with Isogeny

These short patterns come directly from the example sentences and show how the word is often embedded:

every isogeny is an 1× isogeny let e 1× k an isogeny between e 1× the supersingular isogeny diffie hellman 1× the supersingular isogeny key exchange 1×

Sentence openings and endings

Common sentence openings:

every isogeny is 1× isogeny let e 1× the supersingular isogeny 1× to avoid quantum 1×

Common sentence endings:

against quantum computers 1× jao and plut 1× k valued points 1×

Words around Isogeny

Just before it in the word index:

isogamy 3 isoforms 9 isoform 6 isoflavones 4 isofix 4 isoenzymes 2

Just after it in the word index:

isogloss 2 isoglosses 3 isogonal 2 isoh 3 isohedral 2 isoko 27

Similar in corpus frequency:

aaaaand 6 aaah 6 aaargh 6 aacl 6 aadhi 6 aak 6

Corpus analysis for Isogeny

  • In this selection, "isogeny" usually appears near the start of the sentence. The average example has 30.3 words, and this corpus slice is mostly made up of statements.
  • Around the word, supersingular, let, key and diffie stand out and add context to how "isogeny" is used.
  • Recognizable usage signals include every isogeny is an and isogeny let e. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "isogeny" sits close to words such as aaaaand, aaah and aaargh, which helps place it inside the broader word index.

Example types with isogeny

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

The Supersingular isogeny key exchange is a Diffie-Hellman variant that has been designed to be secure against quantum computers. (20 words)

Every isogeny is an algebraic homomorphism and thus induces homomorphisms of the groups of the elliptic curves for k-valued points. (21 words)

To avoid quantum computing concerns, an elliptic curve-based alternative to Elliptic Curve Diffie Hellman which is not susceptible to Shor's attack is the Supersingular Isogeny Diffie–Hellman Key Exchange of De Feo, Jao and Plut. (37 words)

Longer example sentences

Isogeny Let E and D be elliptic curves over a field k. An isogeny between E and D is a finite morphism f : E → D of varieties that preserves basepoints (in other words, maps the given point on E to that on D). (43 words)

To avoid quantum computing concerns, an elliptic curve-based alternative to Elliptic Curve Diffie Hellman which is not susceptible to Shor's attack is the Supersingular Isogeny Diffie–Hellman Key Exchange of De Feo, Jao and Plut. (37 words)

Every isogeny is an algebraic homomorphism and thus induces homomorphisms of the groups of the elliptic curves for k-valued points. (21 words)

Example sentences (4)

Isogeny Let E and D be elliptic curves over a field k. An isogeny between E and D is a finite morphism f : E → D of varieties that preserves basepoints (in other words, maps the given point on E to that on D).

Every isogeny is an algebraic homomorphism and thus induces homomorphisms of the groups of the elliptic curves for k-valued points.

The Supersingular isogeny key exchange is a Diffie-Hellman variant that has been designed to be secure against quantum computers.

To avoid quantum computing concerns, an elliptic curve-based alternative to Elliptic Curve Diffie Hellman which is not susceptible to Shor's attack is the Supersingular Isogeny Diffie–Hellman Key Exchange of De Feo, Jao and Plut.

Common combinations with isogeny

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "isogeny" in a sentence?
An example: "Isogeny Let E and D be elliptic curves over a field k. An isogeny between E and D is a finite morphism f : E → D of varieties that preserves basepoints (in other words, maps the given point on E to that on D)." This page contains 4 example sentences with the word "isogeny" from authentic English texts.
What does "isogeny" mean?
Isogeny means: The condition of being isogenous.
How many example sentences with "isogeny" are there?
Voorbeeldzinnen.info contains 4 example sentences with "isogeny", drawn from a database of millions of English sentences.