<?php

$arr = array(array('name' => 'email', 'value' => 'teste@teste.com'),
			 array('name' => 'code', 'value' => 'D9CI8C'),
			 array('name' => 'nome', 'value' => 'fulano'),
			 array('name' => 'problema', 'value' => 'algo errado')
);

$novo = array_combine(array_column($arr,'name'), array_column($arr,'value'));

print_r($novo);