sudo apt-get install bcmwl-kernel-source funcionará para esse chip Wi-Fi de acordo com o link
Aqui estão os detalhes:
########## wireless info START ##########
Report from: 15 Jan 2015 14:39 PHT +0800
Booted last: 15 Jan 2015 13:29 PHT +0800
Script from: 20 Sep 2014 23:04 UTC +0000
##### release ###########################
Distributor ID: Ubuntu
Description: Ubuntu 14.04 LTS
Release: 14.04
Codename: trusty
##### kernel ############################
Linux 3.13.0-24-generic #46-Ubuntu SMP Thu Apr 10 19:11:08 UTC 2014 x86_64 x86_64 x86_64 GNU/Linux
Parameters: ro, quiet, splash, vt.handoff=7
##### desktop ###########################
Ubuntu
##### lspci #############################
02:00.0 Network controller [0280]: Broadcom Corporation BCM43142 802.11b/g/n [14e4:4365] (rev 01)
Subsystem: Lite-On Communications Inc Device [11ad:6605]
Kernel driver in use: bcma-pci-bridge
03:00.2 Ethernet controller [0200]: Realtek Semiconductor Co., Ltd. RTL8101E/RTL8102E PCI Express Fast Ethernet controller [10ec:8136] (rev 06)
Subsystem: ASUSTeK Computer Inc. Device [1043:200f]
Kernel driver in use: r8169
##### lsusb #############################
Bus 002 Device 001: ID 1d6b:0003 Linux Foundation 3.0 root hub
Bus 001 Device 004: ID 04f2:b404 Chicony Electronics Co., Ltd
Bus 001 Device 003: ID 04ca:2006 Lite-On Technology Corp.
Bus 001 Device 001: ID 1d6b:0002 Linux Foundation 2.0 root hub
##### PCMCIA card info ##################
##### rfkill ############################
0: asus-wlan: Wireless LAN
Soft blocked: no
Hard blocked: no
1: asus-bluetooth: Bluetooth
Soft blocked: no
Hard blocked: no
##### lsmod #############################
asus_nb_wmi 16990 0
asus_wmi 24191 1 asus_nb_wmi
sparse_keymap 13948 1 asus_wmi
bcma 52096 0
wmi 19177 1 asus_wmi
video 19476 2 i915,asus_wmi
##### interfaces ########################
auto lo
iface lo inet loopback
##### ifconfig ##########################
eth0 Link encap:Ethernet HWaddr <MAC 'eth0' [IF]>
inet addr:192.168.5.2 Bcast:192.168.5.255 Mask:255.255.255.0
inet6 addr: fe80::e23f:49ff:fecb:44ca/64 Scope:Link
UP BROADCAST RUNNING MULTICAST MTU:1500 Metric:1
RX packets:1628 errors:0 dropped:0 overruns:0 frame:0
TX packets:584 errors:0 dropped:0 overruns:0 carrier:0
collisions:0 txqueuelen:1000
RX bytes:174922 (174.9 KB) TX bytes:69739 (69.7 KB)
##### iwconfig ##########################
eth0 no wireless extensions.
lo no wireless extensions.
##### route #############################
Kernel IP routing table
Destination Gateway Genmask Flags Metric Ref Use Iface
0.0.0.0 192.168.5.100 0.0.0.0 UG 0 0 0 eth0
192.168.5.0 0.0.0.0 255.255.255.0 U 1 0 0 eth0
##### resolv.conf #######################
nameserver 127.0.1.1
##### nm-tool ###########################
NetworkManager Tool
State: connected (global)
- Device: eth0 [Wired connection 1] -------------------------------------------
Type: Wired
Driver: r8169
State: connected
Default: yes
HW Address: <MAC 'eth0' [IF]>
Capabilities:
Carrier Detect: yes
Speed: 100 Mb/s
Wired Properties
Carrier: on
IPv4 Settings:
Address: 192.168.5.2
Prefix: 24 (255.255.255.0)
Gateway: 192.168.5.100
DNS: 202.69.165.10
DNS: 202.69.191.10
DNS: 202.124.193.3
DNS: 210.4.2.61
DNS: 210.4.2.62
##### NetworkManager.state ##############
[main]
NetworkingEnabled=true
WirelessEnabled=true
WWANEnabled=true
WimaxEnabled=true
##### NetworkManager.conf ###############
[main]
plugins=ifupdown,keyfile,ofono
dns=dnsmasq
[ifupdown]
managed=false
##### NetworkManager profiles ###########
##### iw reg get ########################
Region: Asia/Manila (based on set time zone)
country 00:
(2402 - 2472 @ 40), (6, 20)
(2457 - 2482 @ 40), (6, 20), PASSIVE-SCAN, NO-IBSS
(2474 - 2494 @ 20), (6, 20), NO-OFDM, PASSIVE-SCAN, NO-IBSS
(5170 - 5250 @ 160), (6, 20), PASSIVE-SCAN, NO-IBSS
(5250 - 5330 @ 160), (6, 20), DFS, PASSIVE-SCAN, NO-IBSS
(5490 - 5730 @ 160), (6, 20), DFS, PASSIVE-SCAN, NO-IBSS
##### iwlist channels ###################
eth0 no frequency information.
lo no frequency information.
##### iwlist scan #######################
eth0 Interface doesn't support scanning.
lo Interface doesn't support scanning.
##### module infos ######################
[bcma]
filename: /lib/modules/3.13.0-24-generic/kernel/drivers/bcma/bcma.ko
license: GPL
description: Broadcom's specific AMBA driver
srcversion: E41B811D88783DD5BC38565
depends:
intree: Y
vermagic: 3.13.0-24-generic SMP mod_unload modversions
signer: Magrathea: Glacier signing key
sig_key: 00:A5:A6:57:59:DE:47:4B:C5:C4:31:20:88:0C:1B:94:A5:39:F4:31
sig_hashalgo: sha512
##### module parameters #################
##### /etc/modules ######################
lp
rtc
##### modprobe options ##################
[/etc/modprobe.d/blacklist-ath_pci.conf]
blacklist ath_pci
[/etc/modprobe.d/blacklist.conf]
blacklist evbug
blacklist usbmouse
blacklist usbkbd
blacklist eepro100
blacklist de4x5
blacklist eth1394
blacklist snd_intel8x0m
blacklist snd_aw2
blacklist i2c_i801
blacklist prism54
blacklist bcm43xx
blacklist garmin_gps
blacklist asus_acpi
blacklist snd_pcsp
blacklist pcspkr
blacklist amd76x_edac
[/etc/modprobe.d/blacklist-rare-network.conf]
alias net-pf-3 off
alias net-pf-6 off
alias net-pf-9 off
alias net-pf-11 off
alias net-pf-12 off
alias net-pf-19 off
alias net-pf-21 off
alias net-pf-36 off
[/etc/modprobe.d/iwlwifi.conf]
remove iwlwifi \
(/sbin/lsmod | grep -o -e ^iwlmvm -e ^iwldvm -e ^iwlwifi | xargs /sbin/rmmod) \
&& /sbin/modprobe -r mac80211
[/etc/modprobe.d/mlx4.conf]
softdep mlx4_core post: mlx4_en
##### rc.local ##########################
exit 0
##### pm-utils ##########################
##### udev rules ########################
[/etc/udev/rules.d/70-persistent-net.rules]
# PCI device 0x10ec:0x8136 (r8169)
SUBSYSTEM=="net", ACTION=="add", DRIVERS=="?*", ATTR{address}=="<MAC 'eth0' [IF]>", ATTR{dev_id}=="0x0", ATTR{type}=="1", KERNEL=="eth*", NAME="eth0"
##### dmesg #############################
[ 10.101542] psmouse serio4: elantech: assuming hardware version 4 (with firmware version 0x381f00)
########## wireless info END #####
Obrigado e espero que você possa me ajudar.