Mixing
Inverse of a element $A in mathbb{F}_{2^m}, A neq 0$ using Almost Inverse Algorithm
$begingroup$
I have been proposed in class to obtain the inverse of a given element in $mathbb{Z}_2$ field with the Almost Inverse Algorithm (AIA).
I do not understand very well how to obtain it since the result that the algorithm returns does not know what has to be applied to have the inverse form.
Let $ mathbb{F} = mathbb{Z}_{2}[X]/f(x) $ where $ f (x) = x ^ 4 + x ^ 3 + 1 $ calculate the inverse of $ x ^ 3 + x $
Almost Inverse Algorithm (AIA)
I would like to know if you could help me, showing me the iterations of the algorithm.
finite-groups euclidean-algorithm
asked Jan 14 at 16:47
Str0ngerStr0nger
63
$endgroup$
add a comment |
$begingroup$
I have been proposed in class to obtain the inverse of a given element in $mathbb{Z}_2$ field with the Almost Inverse Algorithm (AIA).
I do not understand very well how to obtain it since the result that the algorithm returns does not know what has to be applied to have the inverse form.
Let $ mathbb{F} = mathbb{Z}_{2}[X]/f(x) $ where $ f (x) = x ^ 4 + x ^ 3 + 1 $ calculate the inverse of $ x ^ 3 + x $
Almost Inverse Algorithm (AIA)
I would like to know if you could help me, showing me the iterations of the algorithm.
finite-groups euclidean-algorithm
asked Jan 14 at 16:47
Str0ngerStr0nger
63
$endgroup$
add a comment |
$begingroup$
I have been proposed in class to obtain the inverse of a given element in $mathbb{Z}_2$ field with the Almost Inverse Algorithm (AIA).
I do not understand very well how to obtain it since the result that the algorithm returns does not know what has to be applied to have the inverse form.
Let $ mathbb{F} = mathbb{Z}_{2}[X]/f(x) $ where $ f (x) = x ^ 4 + x ^ 3 + 1 $ calculate the inverse of $ x ^ 3 + x $
Almost Inverse Algorithm (AIA)
I would like to know if you could help me, showing me the iterations of the algorithm.
finite-groups euclidean-algorithm
asked Jan 14 at 16:47
Str0ngerStr0nger
63
$endgroup$
I have been proposed in class to obtain the inverse of a given element in $mathbb{Z}_2$ field with the Almost Inverse Algorithm (AIA).
I do not understand very well how to obtain it since the result that the algorithm returns does not know what has to be applied to have the inverse form.
Let $ mathbb{F} = mathbb{Z}_{2}[X]/f(x) $ where $ f (x) = x ^ 4 + x ^ 3 + 1 $ calculate the inverse of $ x ^ 3 + x $
Almost Inverse Algorithm (AIA)
I would like to know if you could help me, showing me the iterations of the algorithm.
finite-groups euclidean-algorithm
finite-groups euclidean-algorithm
asked Jan 14 at 16:47
Str0ngerStr0nger
63
asked Jan 14 at 16:47
Str0ngerStr0nger
63
asked Jan 14 at 16:47
Str0ngerStr0nger
63
asked Jan 14 at 16:47
Str0ngerStr0nger
63
asked Jan 14 at 16:47
Str0ngerStr0nger
63
63
add a comment |
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3073441%2finverse-of-a-element-a-in-mathbbf-2m-a-neq-0-using-almost-inverse-alg%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3073441%2finverse-of-a-element-a-in-mathbbf-2m-a-neq-0-using-almost-inverse-alg%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
