diff --git a/core-test/src/test/scala/org/bitcoins/core/util/SortedVecTest.scala b/core-test/src/test/scala/org/bitcoins/core/util/SortedVecTest.scala
new file mode 100644
index 0000000000..9cf1e9db3e
--- /dev/null
+++ b/core-test/src/test/scala/org/bitcoins/core/util/SortedVecTest.scala
@@ -0,0 +1,102 @@
+package org.bitcoins.core.util
+
+import org.bitcoins.core.util.sorted.SortedVec
+import org.bitcoins.crypto.{ECPublicKey, NetworkElement, SchnorrNonce}
+import org.bitcoins.testkitcore.util.BitcoinSUnitTest
+
+class SortedVecTest extends BitcoinSUnitTest {
+  behavior of "SortedVec"
+
+  implicit val networkElementOrd: Ordering[NetworkElement] = {
+    case (x: NetworkElement, y: NetworkElement) =>
+      x.bytes.compare(y.bytes)
+  }
+
+  it should "sort correctly on construction with normal orderings" in {
+    assert(SortedVec.sort(Vector(1, 2, 3)) == SortedVec(Vector(1, 2, 3)))
+    assert(SortedVec.sort(Vector(3, 2, 1)) == SortedVec(Vector(1, 2, 3)))
+    assert(
+      SortedVec.sort(Vector(3.0, 2.0, 1.123)) == SortedVec(
+        Vector(1.123, 2.0, 3.0)))
+    assert(
+      SortedVec.sort(Vector('c', 'b', 'a')) == SortedVec(Vector('a', 'b', 'c')))
+    assert(
+      SortedVec.sort(Vector("cab", "ceb", "abc")) == SortedVec(
+        Vector("abc", "cab", "ceb")))
+    assert(
+      SortedVec.sort[SchnorrNonce, NetworkElement](Vector(
+        SchnorrNonce(
+          "c4b89873c8753de3f0a9e94c4a6190badaa983513a6624a3469eb4577904bfea"),
+        SchnorrNonce(
+          "92efe81609c773d97da2b084eb691f48ef5e926acc6eecd629f80fb1184711bc")
+      )) == SortedVec[SchnorrNonce, NetworkElement](Vector(
+        SchnorrNonce(
+          "92efe81609c773d97da2b084eb691f48ef5e926acc6eecd629f80fb1184711bc"),
+        SchnorrNonce(
+          "c4b89873c8753de3f0a9e94c4a6190badaa983513a6624a3469eb4577904bfea")
+      )))
+  }
+
+  it should "fail to construct with unsorted vector under normal orderings" in {
+    assertThrows[IllegalArgumentException](SortedVec(Vector(3, 2, 1)))
+    assertThrows[IllegalArgumentException](SortedVec(Vector(3.0, 2.0, 1.123)))
+    assertThrows[IllegalArgumentException](SortedVec(Vector('c', 'b', 'a')))
+    assertThrows[IllegalArgumentException](
+      SortedVec(Vector("cab", "ceb", "abc")))
+    assertThrows[IllegalArgumentException](
+      SortedVec[SchnorrNonce, NetworkElement](Vector(
+        SchnorrNonce(
+          "c4b89873c8753de3f0a9e94c4a6190badaa983513a6624a3469eb4577904bfea"),
+        SchnorrNonce(
+          "92efe81609c773d97da2b084eb691f48ef5e926acc6eecd629f80fb1184711bc")
+      )))
+  }
+
+  it should "sort correctly on construction with custom orderings" in {
+    implicit val parityOrd: Ordering[Int] = { case (x: Int, y: Int) =>
+      (math.abs(x) % 2) - (math.abs(y) % 2)
+    }
+
+    assert(SortedVec.sort(Vector(1, 2, 3, 4)) == SortedVec(Vector(2, 4, 1, 3)))
+    assert(SortedVec.sort(Vector(2, 4, 1, 3)) == SortedVec(Vector(2, 4, 1, 3)))
+
+    implicit val remainderOrd: Ordering[Double] = {
+      case (x: Double, y: Double) =>
+        val diff = (x - x.floor) - (y - y.floor)
+        if (diff > 0) 1 else if (diff == 0) 0 else -1
+    }
+
+    assert(
+      SortedVec.sort(Vector(0.95, 123.123, 5.55)) == SortedVec(
+        Vector(123.123, 5.55, 0.95)))
+  }
+
+  it should "fail to construct with unsorted vector under custom orderings" in {
+    implicit val parityOrd: Ordering[Int] = { case (x: Int, y: Int) =>
+      (math.abs(x) % 2) - (math.abs(y) % 2)
+    }
+
+    assertThrows[IllegalArgumentException](SortedVec(Vector(1, 2, 3, 4)))
+
+    implicit val remainderOrd: Ordering[Double] = {
+      case (x: Double, y: Double) =>
+        val diff = (x - x.floor) - (y - y.floor)
+        if (diff > 0) 1 else if (diff == 0) 0 else -1
+    }
+
+    assertThrows[IllegalArgumentException](
+      SortedVec(Vector(0.95, 5.55, 123.123)))
+  }
+
+  it should "correctly handle ordered list" in {
+    val nonce1 = ECPublicKey.freshPublicKey.schnorrNonce
+    val nonce2 = ECPublicKey.freshPublicKey.schnorrNonce
+    val nonce3 = ECPublicKey.freshPublicKey.schnorrNonce
+    val nonces = Vector(nonce1, nonce2, nonce3)
+    val wrongOrder = Vector(nonce2, nonce3, nonce1)
+
+    val _ = SortedVec(nonces)(SortedVec.forOrdered(nonces))
+    assertThrows[IllegalArgumentException](
+      SortedVec(wrongOrder)(SortedVec.forOrdered(nonces)))
+  }
+}
diff --git a/core/src/main/scala/org/bitcoins/core/util/sorted/OrderedNonces.scala b/core/src/main/scala/org/bitcoins/core/util/sorted/OrderedNonces.scala
new file mode 100644
index 0000000000..30a1b2b0f2
--- /dev/null
+++ b/core/src/main/scala/org/bitcoins/core/util/sorted/OrderedNonces.scala
@@ -0,0 +1,8 @@
+package org.bitcoins.core.util.sorted
+
+import org.bitcoins.crypto.SchnorrNonce
+
+/** Represents an ordered set of SchnorrNonces */
+case class OrderedNonces(vec: Vector[SchnorrNonce])
+    extends SortedVec[SchnorrNonce, SchnorrNonce](vec,
+                                                  SortedVec.forOrdered(vec))
diff --git a/core/src/main/scala/org/bitcoins/core/util/sorted/SortedVec.scala b/core/src/main/scala/org/bitcoins/core/util/sorted/SortedVec.scala
new file mode 100644
index 0000000000..ccd306fced
--- /dev/null
+++ b/core/src/main/scala/org/bitcoins/core/util/sorted/SortedVec.scala
@@ -0,0 +1,40 @@
+package org.bitcoins.core.util.sorted
+
+import org.bitcoins.core.util.SeqWrapper
+
+/** Wraps a sorted Vector[T] and its Ordering (which may be for a supertype).
+  *
+  * For example SortedVec[SchnorrNonce, NetworkElement] would be a
+  * Vector[SchnorrNonce] sorted as NetworkElements.
+  */
+abstract class SortedVec[T, B >: T](
+    override val wrapped: Vector[T],
+    ord: Ordering[B])
+    extends SeqWrapper[T] {
+  require(
+    wrapped.init.zip(wrapped.tail).forall { case (x, y) => ord.lteq(x, y) },
+    s"Vector must be sorted. $wrapped")
+}
+
+object SortedVec {
+
+  /** For use with ordered lists so that changing order will not be allowed.
+    */
+  def forOrdered[T](vec: Vector[T]): Ordering[T] = { case (x, y) =>
+    vec.indexOf(x) - vec.indexOf(y)
+  }
+
+  private case class SortedVecImpl[T, B >: T](vec: Vector[T])(implicit
+      val ord: Ordering[B])
+      extends SortedVec[T, B](vec, ord)
+
+  def sort[T, B >: T](vec: Vector[T])(implicit
+      ord: Ordering[B]): SortedVec[T, B] = {
+    SortedVecImpl(vec.sorted[B])
+  }
+
+  def apply[T, B >: T](vec: Vector[T])(implicit
+      ord: Ordering[B]): SortedVec[T, B] = {
+    SortedVecImpl(vec)
+  }
+}