Question

Suppose n = 10. Is there some finite alphabet Q such that there are vectors x,...

Suppose n = 10. Is there some finite alphabet Q such that there are vectors x, y, z, and w in Q^n (i.e., q-ary n-tuples, with q the size of Q) such that (with d denoting Hamming distance) d(x,y) = 4, d(x,z) = 8, d(x,w) = 5, d(y,z) = 3, d(y,w) = 4, and d(z,w) = 3 ? (Hamming Distance)

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
5. a) Suppose that the area of the parallelogram spanned by the vectors ~u and ~v...
5. a) Suppose that the area of the parallelogram spanned by the vectors ~u and ~v is 10. What is the area of the parallogram spanned by the vectors 2~u + 3~v and −3~u + 4~v ? (b) Given (~u × ~v) · ~w = 10. What is ((~u + ~v) × (~v + ~w)) · ( ~w + ~u)? [4] 6. Find an equation of the plane that is perpendicular to the plane x + 2y + 4 =...
Let x,y,zx,y,z be (non-zero) vectors and suppose w=10x+10y−4zw=10x+10y−4z. If z=2x+2yz=2x+2y, then w=w= x+x+  yy. Using the calculation...
Let x,y,zx,y,z be (non-zero) vectors and suppose w=10x+10y−4zw=10x+10y−4z. If z=2x+2yz=2x+2y, then w=w= x+x+  yy. Using the calculation above, mark the statements below that must be true. A. Span(x, z) = Span(w, z) B. Span(w, y, z) = Span(x, y) C. Span(w, z) = Span(w, y) D. Span(w, x) = Span(x, y, z) E. Span(w, y) = Span(w, x, y)
proof with The following features: Trichotomy, Transitivity, Connection compatibility, Compatibility with multiplication 1.∀x, y ∈ Q...
proof with The following features: Trichotomy, Transitivity, Connection compatibility, Compatibility with multiplication 1.∀x, y ∈ Q xy>0 ⇐⇒ (y > 0 and x > 0) or ( 0 > y and 0 > x) 2.∀ x ∈ Q x^2 > 0 ⇐⇒ x is not equal to 0 3. ∀ x, y, z, w∈ Q (x < y) ∧(z < w) ⇒ x+z < y+w 4.∀x, y, z, w∈ Q   (0 < x < y) ∧(0 < z < w)...
Consider permutations of the 26-character lowercase alphabet Σ={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}. In how many of these permutations do a,b,c...
Consider permutations of the 26-character lowercase alphabet Σ={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}. In how many of these permutations do a,b,c occur consecutively and in that order? In how many of these permutations does a appear before b and b appear before c?
Suppose ?(?,?)=??(1−10?−10?) f ( x , y ) = x y ( 1 − 10 x...
Suppose ?(?,?)=??(1−10?−10?) f ( x , y ) = x y ( 1 − 10 x − 10 y ) . ?(?,?) f ( x , y ) has 4 critical points. List them in increasing lexographic order. By that we mean that (x, y) comes before (z, w) if ?<? x < z or if ?=? x = z and ?<? y < w . Also, describe the type of critical point by typing MA if it is a...
Two vectors are defined by F1 = 2.60×10−8 N at 130.°, and F2 = 1.30×10−8 N...
Two vectors are defined by F1 = 2.60×10−8 N at 130.°, and F2 = 1.30×10−8 N at 15.0°. Note that all angles are measured counter-clockwise relative to the x-axis. Draw xy axes, and then draw your two vectors. Label the angles. Use your drawing to find the x- and y-components of F1 F1x = ? F1y = ? Use your drawing to find the x- and y-components of F2 F2x = ?   F2y = ? Draw a graphical representation of...
X - Bernoulli (0.4) Y - Binomial (n = 10, p = 0.4) Z - Binomial...
X - Bernoulli (0.4) Y - Binomial (n = 10, p = 0.4) Z - Binomial (n = 3, p = 0.4); X, Y, Z all independent; find pmf of W = X + Y + Z
1. Write the following sets in list form. (For example, {x | x ∈N,1 ≤ x...
1. Write the following sets in list form. (For example, {x | x ∈N,1 ≤ x < 6} would be {1,2,3,4,5}.) (a) {a | a ∈Z,a2 ≤ 1}. (b) {b2 | b ∈Z,−2 ≤ b ≤ 2} (c) {c | c2 −4c−5 = 0}. (d) {d | d ∈R,d2 < 0}. 2. Let S be the set {1,2,{1,3},{2}}. Answer true or false: (a) 1 ∈ S. (b) {2}⊆ S. (c) 3 ∈ S. (d) {1,3}∈ S. (e) {1,2}∈ S (f)...
Recall that a subset A (of N, Z, Q) is called downward closed when x ∈...
Recall that a subset A (of N, Z, Q) is called downward closed when x ∈ A and y < x implies y ∈ A. Suppose that A is a downward closed subset of Z, and consider the subsets B = {x + 1 ∈ Z | (∃y ∈ A).x2 ≤ y} C = {x − 1 ∈ Z | (∃y ∈ A).x < y2 } For each of B, C, determine whether it is downward closed in Z. Explain...
Find the orthogonal projection of u onto the subspace of R4 spanned by the vectors v1,...
Find the orthogonal projection of u onto the subspace of R4 spanned by the vectors v1, v2 and v3. u = (3, 4, 2, 4) ; v1 = (3, 2, 3, 0), v2 = (-8, 3, 6, 3), v3 = (6, 3, -8, 3) Let (x, y, z, w) denote the orthogonal projection of u onto the given subspace. Then, the components of the target orthogonal projection are
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT