diff --git a/doc/KERNEL.md b/doc/KERNEL.md
index 8cf06295..8b7dcc8a 100644
--- a/doc/KERNEL.md
+++ b/doc/KERNEL.md
@@ -13,7 +13,7 @@ In general, switching kernels requires reconfiguring mining parameters,
 such as (but not necessarily limited to) `thread-concurrency`, `intensity`,
 `gpu-engine` and `gpu-memclock`.
 
-A description of how to do this is available in `doc/MINING`.
+A description of how to do this is available in `doc/MINING.md`.
 
 
 ### alexkarnew
@@ -53,7 +53,7 @@ Pavel Semjanov optimised kernel, SHA256 speedups.
 
 Zuikkis' optimised kernel, based on `ckolivas`.
 
-Only supports `vectors=1`, `lookup-gap=2` and `worksize=256`.
+Only supports `vectors=1` and `lookup-gap=2`.
 
 [Announcement](https://litecointalk.org/index.php?topic=6058.msg90873#msg90873).
 
@@ -70,8 +70,8 @@ Only supports `vectors=1`, `lookup-gap=2` and `worksize=256`.
 
 ### Procedure
 
-* Copy the kernel you wish to modify, change the file encoding to UTF-8
-and commit it without any further modifications.
+* Copy the kernel you wish to modify, make sure the character encoding is
+UTF-8 and commit it without any further modifications.
 
 This way, it is easy to verify that there are no hidden changes. Note in
 the commit message which kernel is used as a base.
@@ -80,13 +80,6 @@ the commit message which kernel is used as a base.
 
 This allows to produce a diff that makes sense.
 
-* Search for `KL_CKOLIVAS and CKOLIVAS_KERNNAME` in the top-level source
-directory and make additions to the listed files in order to integrate
-the new kernel.
-
-Now it can be selected when starting via the `--kernel` argument or
-`kernel` configuration option.
-
 * Recompile and test that the kernel actually works.
 
 * Add yourself to the "kernels" section in `AUTHORS.md`. Keep it short.