Information on Result #625128

Linear OA(418, large, F4, 3) (dual of [large, large−18, 4]-code), using product of projective cap with (hyper)oval based on linear OA(416, 1850766, F4, 3) (dual of [1850766, 1850750, 4]-code or 1850766-cap in PG(15,4)), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(419, large, F4, 3) (dual of [large, large−19, 4]-code) [i]Code Embedding in Larger Space
2Linear OA(420, large, F4, 3) (dual of [large, large−20, 4]-code) [i]
3Linear OA(421, large, F4, 3) (dual of [large, large−21, 4]-code) [i]
4Linear OA(422, large, F4, 3) (dual of [large, large−22, 4]-code) [i]
5Linear OA(423, large, F4, 3) (dual of [large, large−23, 4]-code) [i]
6Linear OA(426, large, F4, 3) (dual of [large, large−26, 4]-code) [i]
7Linear OA(427, large, F4, 3) (dual of [large, large−27, 4]-code) [i]
8Linear OA(428, large, F4, 3) (dual of [large, large−28, 4]-code) [i]
9Linear OA(429, large, F4, 3) (dual of [large, large−29, 4]-code) [i]
10Linear OA(430, large, F4, 3) (dual of [large, large−30, 4]-code) [i]
11Linear OA(431, large, F4, 3) (dual of [large, large−31, 4]-code) [i]
12Linear OA(432, large, F4, 3) (dual of [large, large−32, 4]-code) [i]
13Linear OA(433, large, F4, 3) (dual of [large, large−33, 4]-code) [i]
14Linear OA(434, large, F4, 3) (dual of [large, large−34, 4]-code) [i]
15Linear OA(435, large, F4, 3) (dual of [large, large−35, 4]-code) [i]
16Linear OA(436, large, F4, 3) (dual of [large, large−36, 4]-code) [i]
17Linear OA(438, large, F4, 3) (dual of [large, large−38, 4]-code) [i]
18Linear OA(439, large, F4, 3) (dual of [large, large−39, 4]-code) [i]
19Linear OA(440, large, F4, 3) (dual of [large, large−40, 4]-code) [i]
20Linear OA(441, large, F4, 3) (dual of [large, large−41, 4]-code) [i]
21Linear OA(442, large, F4, 3) (dual of [large, large−42, 4]-code) [i]
22Linear OA(443, large, F4, 3) (dual of [large, large−43, 4]-code) [i]
23Linear OA(444, large, F4, 3) (dual of [large, large−44, 4]-code) [i]
24Linear OA(445, large, F4, 3) (dual of [large, large−45, 4]-code) [i]
25Linear OA(446, large, F4, 3) (dual of [large, large−46, 4]-code) [i]
26Linear OA(447, large, F4, 3) (dual of [large, large−47, 4]-code) [i]
27Linear OA(448, large, F4, 3) (dual of [large, large−48, 4]-code) [i]
28Linear OA(450, large, F4, 3) (dual of [large, large−50, 4]-code) [i]
29Linear OA(451, large, F4, 3) (dual of [large, large−51, 4]-code) [i]
30Linear OA(452, large, F4, 3) (dual of [large, large−52, 4]-code) [i]
31Linear OA(453, large, F4, 3) (dual of [large, large−53, 4]-code) [i]
32Linear OA(454, large, F4, 3) (dual of [large, large−54, 4]-code) [i]
33Linear OA(455, large, F4, 3) (dual of [large, large−55, 4]-code) [i]
34Linear OA(456, large, F4, 3) (dual of [large, large−56, 4]-code) [i]
35Linear OA(457, large, F4, 3) (dual of [large, large−57, 4]-code) [i]
36Linear OA(458, large, F4, 3) (dual of [large, large−58, 4]-code) [i]
37Linear OA(459, large, F4, 3) (dual of [large, large−59, 4]-code) [i]
38Linear OA(460, large, F4, 3) (dual of [large, large−60, 4]-code) [i]
39Linear OA(462, large, F4, 3) (dual of [large, large−62, 4]-code) [i]
40Linear OA(463, large, F4, 3) (dual of [large, large−63, 4]-code) [i]
41Linear OA(464, large, F4, 3) (dual of [large, large−64, 4]-code) [i]
42Linear OA(465, large, F4, 3) (dual of [large, large−65, 4]-code) [i]
43Linear OA(466, large, F4, 3) (dual of [large, large−66, 4]-code) [i]
44Linear OA(467, large, F4, 3) (dual of [large, large−67, 4]-code) [i]
45Linear OA(468, large, F4, 3) (dual of [large, large−68, 4]-code) [i]
46Linear OA(469, large, F4, 3) (dual of [large, large−69, 4]-code) [i]
47Linear OA(470, large, F4, 3) (dual of [large, large−70, 4]-code) [i]
48Linear OA(471, large, F4, 3) (dual of [large, large−71, 4]-code) [i]
49Linear OA(474, large, F4, 3) (dual of [large, large−74, 4]-code) [i]
50Linear OA(475, large, F4, 3) (dual of [large, large−75, 4]-code) [i]
51Linear OA(476, large, F4, 3) (dual of [large, large−76, 4]-code) [i]
52Linear OA(477, large, F4, 3) (dual of [large, large−77, 4]-code) [i]
53Linear OA(478, large, F4, 3) (dual of [large, large−78, 4]-code) [i]
54Linear OA(479, large, F4, 3) (dual of [large, large−79, 4]-code) [i]
55Linear OA(480, large, F4, 3) (dual of [large, large−80, 4]-code) [i]
56Linear OA(481, large, F4, 3) (dual of [large, large−81, 4]-code) [i]
57Linear OA(482, large, F4, 3) (dual of [large, large−82, 4]-code) [i]
58Linear OA(483, large, F4, 3) (dual of [large, large−83, 4]-code) [i]
59Linear OA(484, large, F4, 3) (dual of [large, large−84, 4]-code) [i]
60Linear OA(486, large, F4, 3) (dual of [large, large−86, 4]-code) [i]
61Linear OA(487, large, F4, 3) (dual of [large, large−87, 4]-code) [i]
62Linear OA(488, large, F4, 3) (dual of [large, large−88, 4]-code) [i]
63Linear OA(489, large, F4, 3) (dual of [large, large−89, 4]-code) [i]
64Linear OA(490, large, F4, 3) (dual of [large, large−90, 4]-code) [i]
65Linear OA(491, large, F4, 3) (dual of [large, large−91, 4]-code) [i]
66Linear OA(492, large, F4, 3) (dual of [large, large−92, 4]-code) [i]
67Linear OA(494, large, F4, 3) (dual of [large, large−94, 4]-code) [i]
68Linear OA(495, large, F4, 3) (dual of [large, large−95, 4]-code) [i]
69Linear OA(496, large, F4, 3) (dual of [large, large−96, 4]-code) [i]
70Linear OA(498, large, F4, 3) (dual of [large, large−98, 4]-code) [i]
71Linear OA(499, large, F4, 3) (dual of [large, large−99, 4]-code) [i]
72Linear OA(4100, large, F4, 3) (dual of [large, large−100, 4]-code) [i]
73Linear OA(4101, large, F4, 3) (dual of [large, large−101, 4]-code) [i]
74Linear OA(4102, large, F4, 3) (dual of [large, large−102, 4]-code) [i]
75Linear OA(4103, large, F4, 3) (dual of [large, large−103, 4]-code) [i]
76Linear OA(4104, large, F4, 3) (dual of [large, large−104, 4]-code) [i]
77Linear OA(4105, large, F4, 3) (dual of [large, large−105, 4]-code) [i]
78Linear OA(4106, large, F4, 3) (dual of [large, large−106, 4]-code) [i]
79Linear OA(4107, large, F4, 3) (dual of [large, large−107, 4]-code) [i]
80Linear OA(4110, large, F4, 3) (dual of [large, large−110, 4]-code) [i]
81Linear OA(4111, large, F4, 3) (dual of [large, large−111, 4]-code) [i]
82Linear OA(4112, large, F4, 3) (dual of [large, large−112, 4]-code) [i]
83Linear OA(4113, large, F4, 3) (dual of [large, large−113, 4]-code) [i]
84Linear OA(4114, large, F4, 3) (dual of [large, large−114, 4]-code) [i]
85Linear OA(4115, large, F4, 3) (dual of [large, large−115, 4]-code) [i]
86Linear OA(4116, large, F4, 3) (dual of [large, large−116, 4]-code) [i]
87Linear OA(4117, large, F4, 3) (dual of [large, large−117, 4]-code) [i]
88Linear OA(4118, large, F4, 3) (dual of [large, large−118, 4]-code) [i]
89Linear OA(4119, large, F4, 3) (dual of [large, large−119, 4]-code) [i]
90Linear OA(4120, large, F4, 3) (dual of [large, large−120, 4]-code) [i]
91Linear OA(4122, large, F4, 3) (dual of [large, large−122, 4]-code) [i]
92Linear OA(4123, large, F4, 3) (dual of [large, large−123, 4]-code) [i]
93Linear OA(4124, large, F4, 3) (dual of [large, large−124, 4]-code) [i]
94Linear OA(4125, large, F4, 3) (dual of [large, large−125, 4]-code) [i]
95Linear OA(4126, large, F4, 3) (dual of [large, large−126, 4]-code) [i]
96Linear OA(4127, large, F4, 3) (dual of [large, large−127, 4]-code) [i]
97Linear OA(4128, large, F4, 3) (dual of [large, large−128, 4]-code) [i]
98Linear OA(4129, large, F4, 3) (dual of [large, large−129, 4]-code) [i]
99Linear OA(4130, large, F4, 3) (dual of [large, large−130, 4]-code) [i]
100Linear OA(4131, large, F4, 3) (dual of [large, large−131, 4]-code) [i]
101Linear OA(4132, large, F4, 3) (dual of [large, large−132, 4]-code) [i]
102Linear OA(4134, large, F4, 3) (dual of [large, large−134, 4]-code) [i]
103Linear OA(4135, large, F4, 3) (dual of [large, large−135, 4]-code) [i]
104Linear OA(4136, large, F4, 3) (dual of [large, large−136, 4]-code) [i]
105Linear OA(4137, large, F4, 3) (dual of [large, large−137, 4]-code) [i]
106Linear OA(4138, large, F4, 3) (dual of [large, large−138, 4]-code) [i]
107Linear OA(4139, large, F4, 3) (dual of [large, large−139, 4]-code) [i]
108Linear OA(4140, large, F4, 3) (dual of [large, large−140, 4]-code) [i]
109Linear OA(4141, large, F4, 3) (dual of [large, large−141, 4]-code) [i]
110Linear OA(4142, large, F4, 3) (dual of [large, large−142, 4]-code) [i]
111Linear OA(4143, large, F4, 3) (dual of [large, large−143, 4]-code) [i]
112Linear OA(4146, large, F4, 3) (dual of [large, large−146, 4]-code) [i]
113Linear OA(4147, large, F4, 3) (dual of [large, large−147, 4]-code) [i]
114Linear OA(4148, large, F4, 3) (dual of [large, large−148, 4]-code) [i]
115Linear OA(4149, large, F4, 3) (dual of [large, large−149, 4]-code) [i]
116Linear OA(4150, large, F4, 3) (dual of [large, large−150, 4]-code) [i]
117Linear OA(4151, large, F4, 3) (dual of [large, large−151, 4]-code) [i]
118Linear OA(4152, large, F4, 3) (dual of [large, large−152, 4]-code) [i]
119Linear OA(4153, large, F4, 3) (dual of [large, large−153, 4]-code) [i]
120Linear OA(4154, large, F4, 3) (dual of [large, large−154, 4]-code) [i]
121Linear OA(4155, large, F4, 3) (dual of [large, large−155, 4]-code) [i]
122Linear OA(4156, large, F4, 3) (dual of [large, large−156, 4]-code) [i]
123Linear OA(4158, large, F4, 3) (dual of [large, large−158, 4]-code) [i]
124Linear OA(4159, large, F4, 3) (dual of [large, large−159, 4]-code) [i]
125Linear OA(4160, large, F4, 3) (dual of [large, large−160, 4]-code) [i]
126Linear OA(4161, large, F4, 3) (dual of [large, large−161, 4]-code) [i]
127Linear OA(4162, large, F4, 3) (dual of [large, large−162, 4]-code) [i]
128Linear OA(4163, large, F4, 3) (dual of [large, large−163, 4]-code) [i]
129Linear OA(4164, large, F4, 3) (dual of [large, large−164, 4]-code) [i]
130Linear OA(4165, large, F4, 3) (dual of [large, large−165, 4]-code) [i]
131Linear OA(4166, large, F4, 3) (dual of [large, large−166, 4]-code) [i]
132Linear OA(4167, large, F4, 3) (dual of [large, large−167, 4]-code) [i]
133Linear OA(4168, large, F4, 3) (dual of [large, large−168, 4]-code) [i]
134Linear OA(4170, large, F4, 3) (dual of [large, large−170, 4]-code) [i]
135Linear OA(4171, large, F4, 3) (dual of [large, large−171, 4]-code) [i]
136Linear OA(4172, large, F4, 3) (dual of [large, large−172, 4]-code) [i]
137Linear OA(4173, large, F4, 3) (dual of [large, large−173, 4]-code) [i]
138Linear OA(4174, large, F4, 3) (dual of [large, large−174, 4]-code) [i]
139Linear OA(4175, large, F4, 3) (dual of [large, large−175, 4]-code) [i]
140Linear OA(4176, large, F4, 3) (dual of [large, large−176, 4]-code) [i]
141Linear OA(4177, large, F4, 3) (dual of [large, large−177, 4]-code) [i]
142Linear OA(4178, large, F4, 3) (dual of [large, large−178, 4]-code) [i]
143Linear OA(4179, large, F4, 3) (dual of [large, large−179, 4]-code) [i]
144Linear OA(4182, large, F4, 3) (dual of [large, large−182, 4]-code) [i]
145Linear OA(4183, large, F4, 3) (dual of [large, large−183, 4]-code) [i]
146Linear OA(4184, large, F4, 3) (dual of [large, large−184, 4]-code) [i]
147Linear OA(4185, large, F4, 3) (dual of [large, large−185, 4]-code) [i]
148Linear OA(4186, large, F4, 3) (dual of [large, large−186, 4]-code) [i]
149Linear OA(4187, large, F4, 3) (dual of [large, large−187, 4]-code) [i]
150Linear OA(4188, large, F4, 3) (dual of [large, large−188, 4]-code) [i]
151Linear OA(4189, large, F4, 3) (dual of [large, large−189, 4]-code) [i]
152Linear OA(4190, large, F4, 3) (dual of [large, large−190, 4]-code) [i]
153Linear OA(4191, large, F4, 3) (dual of [large, large−191, 4]-code) [i]
154Linear OA(4192, large, F4, 3) (dual of [large, large−192, 4]-code) [i]
155Linear OA(4194, large, F4, 3) (dual of [large, large−194, 4]-code) [i]
156Linear OA(4195, large, F4, 3) (dual of [large, large−195, 4]-code) [i]
157Linear OA(4196, large, F4, 3) (dual of [large, large−196, 4]-code) [i]
158Linear OA(4197, large, F4, 3) (dual of [large, large−197, 4]-code) [i]
159Linear OA(4198, large, F4, 3) (dual of [large, large−198, 4]-code) [i]
160Linear OA(4199, large, F4, 3) (dual of [large, large−199, 4]-code) [i]
161Linear OA(4200, large, F4, 3) (dual of [large, large−200, 4]-code) [i]
162Linear OA(4201, large, F4, 3) (dual of [large, large−201, 4]-code) [i]
163Linear OA(4202, large, F4, 3) (dual of [large, large−202, 4]-code) [i]
164Linear OA(4203, large, F4, 3) (dual of [large, large−203, 4]-code) [i]
165Linear OA(4204, large, F4, 3) (dual of [large, large−204, 4]-code) [i]
166Linear OA(4206, large, F4, 3) (dual of [large, large−206, 4]-code) [i]
167Linear OA(4207, large, F4, 3) (dual of [large, large−207, 4]-code) [i]
168Linear OA(4208, large, F4, 3) (dual of [large, large−208, 4]-code) [i]
169Linear OA(4209, large, F4, 3) (dual of [large, large−209, 4]-code) [i]
170Linear OA(4210, large, F4, 3) (dual of [large, large−210, 4]-code) [i]
171Linear OA(4211, large, F4, 3) (dual of [large, large−211, 4]-code) [i]
172Linear OA(4212, large, F4, 3) (dual of [large, large−212, 4]-code) [i]
173Linear OA(4213, large, F4, 3) (dual of [large, large−213, 4]-code) [i]
174Linear OA(4214, large, F4, 3) (dual of [large, large−214, 4]-code) [i]
175Linear OA(4215, large, F4, 3) (dual of [large, large−215, 4]-code) [i]
176Linear OA(4218, large, F4, 3) (dual of [large, large−218, 4]-code) [i]
177Linear OA(4219, large, F4, 3) (dual of [large, large−219, 4]-code) [i]
178Linear OA(4220, large, F4, 3) (dual of [large, large−220, 4]-code) [i]
179Linear OA(4221, large, F4, 3) (dual of [large, large−221, 4]-code) [i]
180Linear OA(4222, large, F4, 3) (dual of [large, large−222, 4]-code) [i]
181Linear OA(4223, large, F4, 3) (dual of [large, large−223, 4]-code) [i]
182Linear OA(4224, large, F4, 3) (dual of [large, large−224, 4]-code) [i]
183Linear OA(4225, large, F4, 3) (dual of [large, large−225, 4]-code) [i]
184Linear OA(4226, large, F4, 3) (dual of [large, large−226, 4]-code) [i]
185Linear OA(4227, large, F4, 3) (dual of [large, large−227, 4]-code) [i]
186Linear OA(4228, large, F4, 3) (dual of [large, large−228, 4]-code) [i]
187Linear OA(4230, large, F4, 3) (dual of [large, large−230, 4]-code) [i]
188Linear OA(4232, large, F4, 3) (dual of [large, large−232, 4]-code) [i]
189Linear OA(4233, large, F4, 3) (dual of [large, large−233, 4]-code) [i]
190Linear OA(4234, large, F4, 3) (dual of [large, large−234, 4]-code) [i]
191Linear OA(4235, large, F4, 3) (dual of [large, large−235, 4]-code) [i]
192Linear OA(4236, large, F4, 3) (dual of [large, large−236, 4]-code) [i]
193Linear OA(4237, large, F4, 3) (dual of [large, large−237, 4]-code) [i]
194Linear OA(4238, large, F4, 3) (dual of [large, large−238, 4]-code) [i]
195Linear OA(4239, large, F4, 3) (dual of [large, large−239, 4]-code) [i]
196Linear OA(4240, large, F4, 3) (dual of [large, large−240, 4]-code) [i]
197Linear OA(4242, large, F4, 3) (dual of [large, large−242, 4]-code) [i]
198Linear OA(4243, large, F4, 3) (dual of [large, large−243, 4]-code) [i]
199Linear OA(4244, large, F4, 3) (dual of [large, large−244, 4]-code) [i]
200Linear OA(4245, large, F4, 3) (dual of [large, large−245, 4]-code) [i]
201Linear OA(4246, large, F4, 3) (dual of [large, large−246, 4]-code) [i]
202Linear OA(4247, large, F4, 3) (dual of [large, large−247, 4]-code) [i]
203Linear OA(4248, large, F4, 3) (dual of [large, large−248, 4]-code) [i]
204Linear OA(4249, large, F4, 3) (dual of [large, large−249, 4]-code) [i]
205Linear OA(4250, large, F4, 3) (dual of [large, large−250, 4]-code) [i]
206Linear OA(4251, large, F4, 3) (dual of [large, large−251, 4]-code) [i]
207Linear OA(4254, large, F4, 3) (dual of [large, large−254, 4]-code) [i]
208Linear OA(4255, large, F4, 3) (dual of [large, large−255, 4]-code) [i]
209Linear OA(4256, large, F4, 3) (dual of [large, large−256, 4]-code) [i]
210Linear OA(4257, large, F4, 3) (dual of [large, large−257, 4]-code) [i]
211Linear OA(4258, large, F4, 3) (dual of [large, large−258, 4]-code) [i]
212Linear OA(4259, large, F4, 3) (dual of [large, large−259, 4]-code) [i]
213Linear OA(4260, large, F4, 3) (dual of [large, large−260, 4]-code) [i]
214Linear OOA(418, large, F4, 2, 3) [i]OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable
215Linear OOA(418, 8388602, F4, 3, 3) (dual of [(8388602, 3), 25165788, 4]-NRT-code) [i]OOA Stacking with Additional Row