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Oh, I just knew the problem. In Lua, we can not create keys from this source.

A_PRIVATE_KEY="w2UwuwmF9h5p02fnr3MkxtKoDTl8aTtJXqLbsPwbqPg="
B_PRIVATE_KEY="ZyoPMal0TZzNwDyUUE30iThXCKgPOthPaIN2qnOhkNs="

So, these syntaxes are wrong.

local a_key = openssl_pkey.new({
  type = "EC",
  params = {
    private = a_bn,
    group = "prime256v1"
  }
})
local b_key = openssl_pkey.new({
  type = "EC",
  params = {
    private = b_bn,
    group = "prime256v1"
  }
})

These AI-suggested syntaxes are also wrong.

local a_key = openssl_pkey.new({
  type = "X25519",
  curve = "prime256v1",
  private_key = a_decoded_key,
})

We need to convert the source to the PEM keys first. So, the correct source would be like this.

A_PRIVATE_KEY="-----BEGIN PRIVATE KEY-----\nYOUR_CONTENT_HERE\n-----END PRIVATE KEY-----"
B_PRIVATE_KEY="-----BEGIN PRIVATE KEY-----\nYOUR_CONTENT_HERE\n-----END PRIVATE KEY-----"

Then, the correct Lua syntax would be like this.

local a_key = openssl_pkey.new(a_private_key)
local b_key = openssl_pkey.new(b_private_key)

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