Information on Result #736170

Linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-code), using codes constructed by inverting construction Y1

Mode: Constructive and linear.

Optimality

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

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(3118, 772, F3, 26) (dual of [772, 654, 27]-code) [i]Construction XX with Cyclic Codes
2Linear OA(3117, 771, F3, 26) (dual of [771, 654, 27]-code) [i]
3Linear OA(3123, 771, F3, 27) (dual of [771, 648, 28]-code) [i]
4Linear OA(3124, 773, F3, 27) (dual of [773, 649, 28]-code) [i]
5Linear OA(3124, 772, F3, 28) (dual of [772, 648, 29]-code) [i]
6Linear OA(3133, 773, F3, 30) (dual of [773, 640, 31]-code) [i]
7Linear OA(3132, 771, F3, 30) (dual of [771, 639, 31]-code) [i]
8Linear OA(3143, 783, F3, 32) (dual of [783, 640, 33]-code) [i]
9Linear OA(3142, 781, F3, 32) (dual of [781, 639, 33]-code) [i]
10Linear OA(3139, 772, F3, 32) (dual of [772, 633, 33]-code) [i]
11Linear OA(3145, 773, F3, 33) (dual of [773, 628, 34]-code) [i]
12Linear OA(3144, 771, F3, 33) (dual of [771, 627, 34]-code) [i]
13Linear OA(3149, 783, F3, 33) (dual of [783, 634, 34]-code) [i]
14Linear OA(3148, 781, F3, 33) (dual of [781, 633, 34]-code) [i]
15Linear OA(3151, 791, F3, 33) (dual of [791, 640, 34]-code) [i]
16Linear OA(3150, 789, F3, 33) (dual of [789, 639, 34]-code) [i]
17Linear OA(3160, 796, F3, 35) (dual of [796, 636, 36]-code) [i]
18Linear OA(3155, 785, F3, 35) (dual of [785, 630, 36]-code) [i]
19Linear OA(3153, 777, F3, 35) (dual of [777, 624, 36]-code) [i]
20Linear OA(3154, 781, F3, 35) (dual of [781, 627, 36]-code) [i]
21Linear OA(3151, 772, F3, 35) (dual of [772, 621, 36]-code) [i]
22Linear OA(3160, 799, F3, 35) (dual of [799, 639, 36]-code) [i]
23Linear OA(3157, 790, F3, 35) (dual of [790, 633, 36]-code) [i]
24Linear OA(3166, 796, F3, 36) (dual of [796, 630, 37]-code) [i]
25Linear OA(3161, 785, F3, 36) (dual of [785, 624, 37]-code) [i]
26Linear OA(3157, 773, F3, 36) (dual of [773, 616, 37]-code) [i]
27Linear OA(3156, 771, F3, 36) (dual of [771, 615, 37]-code) [i]
28Linear OA(3160, 781, F3, 36) (dual of [781, 621, 37]-code) [i]
29Linear OA(3163, 791, F3, 36) (dual of [791, 628, 37]-code) [i]
30Linear OA(3162, 789, F3, 36) (dual of [789, 627, 37]-code) [i]
31Linear OA(3166, 799, F3, 36) (dual of [799, 633, 37]-code) [i]
32Linear OA(3166, 796, F3, 37) (dual of [796, 630, 38]-code) [i]
33Linear OA(3163, 787, F3, 37) (dual of [787, 624, 38]-code) [i]
34Linear OA(3159, 777, F3, 37) (dual of [777, 618, 38]-code) [i]
35Linear OA(3157, 772, F3, 37) (dual of [772, 615, 38]-code) [i]
36Linear OA(3172, 796, F3, 38) (dual of [796, 624, 39]-code) [i]
37Linear OA(3165, 777, F3, 38) (dual of [777, 612, 39]-code) [i]
38Linear OA(3163, 772, F3, 38) (dual of [772, 609, 39]-code) [i]
39Linear OA(3167, 785, F3, 38) (dual of [785, 618, 39]-code) [i]
40Linear OA(3166, 781, F3, 38) (dual of [781, 615, 39]-code) [i]
41Linear OA(3162, 771, F3, 38) (dual of [771, 609, 39]-code) [i]
42Linear OA(3172, 799, F3, 38) (dual of [799, 627, 39]-code) [i]
43Linear OA(3169, 790, F3, 38) (dual of [790, 621, 39]-code) [i]
44Linear OA(3178, 796, F3, 39) (dual of [796, 618, 40]-code) [i]
45Linear OA(3173, 785, F3, 39) (dual of [785, 612, 40]-code) [i]
46Linear OA(3168, 771, F3, 39) (dual of [771, 603, 40]-code) [i]
47Linear OA(3169, 773, F3, 39) (dual of [773, 604, 40]-code) [i]
48Linear OA(3175, 791, F3, 39) (dual of [791, 616, 40]-code) [i]
49Linear OA(3174, 789, F3, 39) (dual of [789, 615, 40]-code) [i]
50Linear OA(3178, 799, F3, 39) (dual of [799, 621, 40]-code) [i]
51Linear OA(3178, 796, F3, 40) (dual of [796, 618, 41]-code) [i]
52Linear OA(3175, 790, F3, 40) (dual of [790, 615, 41]-code) [i]
53Linear OA(3172, 781, F3, 40) (dual of [781, 609, 41]-code) [i]
54Linear OA(3169, 772, F3, 40) (dual of [772, 603, 41]-code) [i]
55Linear OA(3184, 796, F3, 41) (dual of [796, 612, 42]-code) [i]
56Linear OA(3181, 790, F3, 41) (dual of [790, 609, 42]-code) [i]
57Linear OA(3178, 781, F3, 41) (dual of [781, 603, 42]-code) [i]
58Linear OA(3175, 772, F3, 41) (dual of [772, 597, 42]-code) [i]
59Linear OA(3184, 799, F3, 41) (dual of [799, 615, 42]-code) [i]
60Linear OA(3180, 789, F3, 41) (dual of [789, 609, 42]-code) [i]
61Linear OA(3174, 771, F3, 41) (dual of [771, 597, 42]-code) [i]
62Linear OA(3177, 777, F3, 41) (dual of [777, 600, 42]-code) [i]
63Linear OA(3186, 789, F3, 42) (dual of [789, 603, 43]-code) [i]
64Linear OA(3180, 771, F3, 42) (dual of [771, 591, 43]-code) [i]
65Linear OA(3181, 773, F3, 42) (dual of [773, 592, 43]-code) [i]
66Linear OA(3185, 785, F3, 42) (dual of [785, 600, 43]-code) [i]
67Linear OA(3187, 791, F3, 42) (dual of [791, 604, 43]-code) [i]
68Linear OA(3187, 790, F3, 43) (dual of [790, 603, 44]-code) [i]
69Linear OA(3184, 781, F3, 43) (dual of [781, 597, 44]-code) [i]
70Linear OA(3181, 772, F3, 43) (dual of [772, 591, 44]-code) [i]
71Linear OA(3193, 790, F3, 44) (dual of [790, 597, 45]-code) [i]
72Linear OA(3190, 781, F3, 44) (dual of [781, 591, 45]-code) [i]
73Linear OA(3187, 772, F3, 44) (dual of [772, 585, 45]-code) [i]
74Linear OA(3192, 789, F3, 44) (dual of [789, 597, 45]-code) [i]
75Linear OA(3186, 771, F3, 44) (dual of [771, 585, 45]-code) [i]
76Linear OA(3189, 777, F3, 44) (dual of [777, 588, 45]-code) [i]
77Linear OA(3198, 789, F3, 45) (dual of [789, 591, 46]-code) [i]
78Linear OA(3192, 771, F3, 45) (dual of [771, 579, 46]-code) [i]
79Linear OA(3193, 773, F3, 45) (dual of [773, 580, 46]-code) [i]
80Linear OA(3199, 791, F3, 45) (dual of [791, 592, 46]-code) [i]
81Linear OA(3197, 785, F3, 45) (dual of [785, 588, 46]-code) [i]
82Linear OA(3202, 799, F3, 46) (dual of [799, 597, 47]-code) [i]
83Linear OA(3199, 790, F3, 46) (dual of [790, 591, 47]-code) [i]
84Linear OA(3196, 781, F3, 46) (dual of [781, 585, 47]-code) [i]
85Linear OA(3193, 772, F3, 46) (dual of [772, 579, 47]-code) [i]
86Linear OA(3208, 799, F3, 47) (dual of [799, 591, 48]-code) [i]
87Linear OA(3205, 790, F3, 47) (dual of [790, 585, 48]-code) [i]
88Linear OA(3202, 781, F3, 47) (dual of [781, 579, 48]-code) [i]
89Linear OA(3199, 772, F3, 47) (dual of [772, 573, 48]-code) [i]
90Linear OA(3204, 789, F3, 47) (dual of [789, 585, 48]-code) [i]
91Linear OA(3198, 771, F3, 47) (dual of [771, 573, 48]-code) [i]
92Linear OA(3201, 777, F3, 47) (dual of [777, 576, 48]-code) [i]
93Linear OA(3214, 799, F3, 48) (dual of [799, 585, 49]-code) [i]
94Linear OA(3210, 789, F3, 48) (dual of [789, 579, 49]-code) [i]
95Linear OA(3204, 771, F3, 48) (dual of [771, 567, 49]-code) [i]
96Linear OA(3205, 773, F3, 48) (dual of [773, 568, 49]-code) [i]
97Linear OA(3211, 791, F3, 48) (dual of [791, 580, 49]-code) [i]
98Linear OA(3209, 785, F3, 48) (dual of [785, 576, 49]-code) [i]
99Linear OA(3214, 799, F3, 49) (dual of [799, 585, 50]-code) [i]
100Linear OA(3211, 790, F3, 49) (dual of [790, 579, 50]-code) [i]
101Linear OA(3208, 781, F3, 49) (dual of [781, 573, 50]-code) [i]
102Linear OA(3205, 772, F3, 49) (dual of [772, 567, 50]-code) [i]
103Linear OA(3220, 799, F3, 50) (dual of [799, 579, 51]-code) [i]
104Linear OA(3217, 790, F3, 50) (dual of [790, 573, 51]-code) [i]
105Linear OA(3214, 781, F3, 50) (dual of [781, 567, 51]-code) [i]
106Linear OA(3211, 772, F3, 50) (dual of [772, 561, 51]-code) [i]
107Linear OA(3216, 789, F3, 50) (dual of [789, 573, 51]-code) [i]
108Linear OA(3210, 771, F3, 50) (dual of [771, 561, 51]-code) [i]
109Linear OA(3213, 777, F3, 50) (dual of [777, 564, 51]-code) [i]
110Linear OA(3226, 799, F3, 51) (dual of [799, 573, 52]-code) [i]
111Linear OA(3222, 789, F3, 51) (dual of [789, 567, 52]-code) [i]
112Linear OA(3216, 771, F3, 51) (dual of [771, 555, 52]-code) [i]
113Linear OA(3217, 773, F3, 51) (dual of [773, 556, 52]-code) [i]
114Linear OA(3223, 791, F3, 51) (dual of [791, 568, 52]-code) [i]
115Linear OA(3221, 785, F3, 51) (dual of [785, 564, 52]-code) [i]
116Linear OA(3226, 799, F3, 52) (dual of [799, 573, 53]-code) [i]
117Linear OA(3223, 790, F3, 52) (dual of [790, 567, 53]-code) [i]
118Linear OA(3220, 781, F3, 52) (dual of [781, 561, 53]-code) [i]
119Linear OA(3217, 772, F3, 52) (dual of [772, 555, 53]-code) [i]
120Linear OA(3232, 799, F3, 53) (dual of [799, 567, 54]-code) [i]
121Linear OA(3229, 790, F3, 53) (dual of [790, 561, 54]-code) [i]
122Linear OA(3226, 781, F3, 53) (dual of [781, 555, 54]-code) [i]
123Linear OA(3223, 772, F3, 53) (dual of [772, 549, 54]-code) [i]
124Linear OA(3228, 789, F3, 53) (dual of [789, 561, 54]-code) [i]
125Linear OA(3222, 771, F3, 53) (dual of [771, 549, 54]-code) [i]
126Linear OA(3225, 777, F3, 53) (dual of [777, 552, 54]-code) [i]
127Linear OA(3238, 799, F3, 54) (dual of [799, 561, 55]-code) [i]
128Linear OA(3234, 789, F3, 54) (dual of [789, 555, 55]-code) [i]
129Linear OA(3235, 791, F3, 54) (dual of [791, 556, 55]-code) [i]
130Linear OA(3233, 785, F3, 54) (dual of [785, 552, 55]-code) [i]
131Linear OA(3233, 791, F3, 54) (dual of [791, 558, 55]-code) [i]
132Linear OA(3232, 784, F3, 54) (dual of [784, 552, 55]-code) [i]
133Linear OA(3238, 799, F3, 55) (dual of [799, 561, 56]-code) [i]
134Linear OA(3235, 790, F3, 55) (dual of [790, 555, 56]-code) [i]
135Linear OA(3232, 781, F3, 55) (dual of [781, 549, 56]-code) [i]
136Linear OA(3229, 772, F3, 55) (dual of [772, 543, 56]-code) [i]
137Linear OA(3238, 793, F3, 56) (dual of [793, 555, 57]-code) [i]
138Linear OA(3237, 791, F3, 56) (dual of [791, 554, 57]-code) [i]
139Linear OA(3236, 789, F3, 56) (dual of [789, 553, 57]-code) [i]
140Linear OA(3235, 782, F3, 56) (dual of [782, 547, 57]-code) [i]
141Linear OA(3232, 774, F3, 56) (dual of [774, 542, 57]-code) [i]
142Linear OA(3231, 772, F3, 56) (dual of [772, 541, 57]-code) [i]
143Linear OA(3237, 777, F3, 57) (dual of [777, 540, 58]-code) [i]
144Linear OA(3246, 800, F3, 57) (dual of [800, 554, 58]-code) [i]
145Linear OA(3246, 800, F3, 57) (dual of [800, 554, 58]-code) [i]
146Linear OA(3245, 798, F3, 57) (dual of [798, 553, 58]-code) [i]
147Linear OA(3245, 798, F3, 57) (dual of [798, 553, 58]-code) [i]
148Linear OA(3241, 790, F3, 57) (dual of [790, 549, 58]-code) [i]
149Linear OA(3240, 788, F3, 57) (dual of [788, 548, 58]-code) [i]
150Linear OA(3239, 786, F3, 57) (dual of [786, 547, 58]-code) [i]
151Linear OA(3238, 781, F3, 57) (dual of [781, 543, 58]-code) [i]
152Linear OA(3237, 779, F3, 57) (dual of [779, 542, 58]-code) [i]
153Linear OA(3236, 777, F3, 57) (dual of [777, 541, 58]-code) [i]
154Linear OA(3231, 766, F3, 57) (dual of [766, 535, 58]-code) [i]
155Linear OA(3245, 783, F3, 59) (dual of [783, 538, 60]-code) [i]
156Linear OA(3244, 781, F3, 59) (dual of [781, 537, 60]-code) [i]
157Linear OA(3247, 790, F3, 59) (dual of [790, 543, 60]-code) [i]
158Linear OA(3246, 788, F3, 59) (dual of [788, 542, 60]-code) [i]
159Linear OA(3245, 786, F3, 59) (dual of [786, 541, 60]-code) [i]
160Linear OA(3240, 775, F3, 59) (dual of [775, 535, 60]-code) [i]
161Linear OA(3244, 771, F3, 60) (dual of [771, 527, 61]-code) [i]
162Linear OA(3243, 769, F3, 60) (dual of [769, 526, 61]-code) [i]
163Linear OA(3248, 783, F3, 60) (dual of [783, 535, 61]-code) [i]
164Linear OA(3237, 764, F3, 59) (dual of [764, 527, 60]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
165Linear OA(3228, 767, F3, 56) (dual of [767, 539, 57]-code) [i]
166Linear OA(3222, 769, F3, 53) (dual of [769, 547, 54]-code) [i]
167Linear OA(3210, 769, F3, 50) (dual of [769, 559, 51]-code) [i]
168Linear OA(3198, 769, F3, 47) (dual of [769, 571, 48]-code) [i]
169Linear OA(3186, 769, F3, 44) (dual of [769, 583, 45]-code) [i]
170Linear OA(3174, 769, F3, 41) (dual of [769, 595, 42]-code) [i]
171Linear OA(3162, 769, F3, 38) (dual of [769, 607, 39]-code) [i]
172Linear OA(3150, 769, F3, 35) (dual of [769, 619, 36]-code) [i]
173Linear OA(3138, 769, F3, 32) (dual of [769, 631, 33]-code) [i]
174Linear OA(3126, 769, F3, 29) (dual of [769, 643, 30]-code) [i]
175Linear OA(3117, 769, F3, 26) (dual of [769, 652, 27]-code) [i]
176Linear OA(3135, 277, F3, 41) (dual of [277, 142, 42]-code) [i]
177Linear OA(3125, 277, F3, 38) (dual of [277, 152, 39]-code) [i]
178Linear OA(3249, 19736, F3, 39) (dual of [19736, 19487, 40]-code) [i]
179Linear OA(3240, 19736, F3, 38) (dual of [19736, 19496, 39]-code) [i]
180Linear OA(3231, 19736, F3, 36) (dual of [19736, 19505, 37]-code) [i]
181Linear OA(3222, 19736, F3, 35) (dual of [19736, 19514, 36]-code) [i]
182Linear OA(3213, 19736, F3, 33) (dual of [19736, 19523, 34]-code) [i]
183Linear OA(3204, 19736, F3, 32) (dual of [19736, 19532, 33]-code) [i]
184Linear OA(3195, 19736, F3, 30) (dual of [19736, 19541, 31]-code) [i]
185Linear OA(3186, 19736, F3, 29) (dual of [19736, 19550, 30]-code) [i]
186Linear OA(3177, 19736, F3, 27) (dual of [19736, 19559, 28]-code) [i]
187Linear OA(3168, 19736, F3, 26) (dual of [19736, 19568, 27]-code) [i]
188Linear OA(3159, 19736, F3, 24) (dual of [19736, 19577, 25]-code) [i]
189Linear OA(3150, 19736, F3, 23) (dual of [19736, 19586, 24]-code) [i]
190Linear OA(3247, 6614, F3, 44) (dual of [6614, 6367, 45]-code) [i]
191Linear OA(3239, 6614, F3, 42) (dual of [6614, 6375, 43]-code) [i]
192Linear OA(3231, 6614, F3, 41) (dual of [6614, 6383, 42]-code) [i]
193Linear OA(3223, 6614, F3, 39) (dual of [6614, 6391, 40]-code) [i]
194Linear OA(3215, 6614, F3, 38) (dual of [6614, 6399, 39]-code) [i]
195Linear OA(3207, 6614, F3, 36) (dual of [6614, 6407, 37]-code) [i]
196Linear OA(3199, 6614, F3, 35) (dual of [6614, 6415, 36]-code) [i]
197Linear OA(3191, 6614, F3, 33) (dual of [6614, 6423, 34]-code) [i]
198Linear OA(3183, 6614, F3, 32) (dual of [6614, 6431, 33]-code) [i]
199Linear OA(3175, 6614, F3, 30) (dual of [6614, 6439, 31]-code) [i]
200Linear OA(3167, 6614, F3, 29) (dual of [6614, 6447, 30]-code) [i]
201Linear OA(3159, 6614, F3, 27) (dual of [6614, 6455, 28]-code) [i]
202Linear OA(3151, 6614, F3, 26) (dual of [6614, 6463, 27]-code) [i]
203Linear OA(3246, 2236, F3, 50) (dual of [2236, 1990, 51]-code) [i]
204Linear OA(3239, 2236, F3, 48) (dual of [2236, 1997, 49]-code) [i]
205Linear OA(3232, 2236, F3, 47) (dual of [2236, 2004, 48]-code) [i]
206Linear OA(3225, 2236, F3, 45) (dual of [2236, 2011, 46]-code) [i]
207Linear OA(3218, 2236, F3, 44) (dual of [2236, 2018, 45]-code) [i]
208Linear OA(3211, 2236, F3, 42) (dual of [2236, 2025, 43]-code) [i]
209Linear OA(3204, 2236, F3, 41) (dual of [2236, 2032, 42]-code) [i]
210Linear OA(3197, 2236, F3, 39) (dual of [2236, 2039, 40]-code) [i]
211Linear OA(3190, 2236, F3, 38) (dual of [2236, 2046, 39]-code) [i]
212Linear OA(3183, 2236, F3, 36) (dual of [2236, 2053, 37]-code) [i]
213Linear OA(3176, 2236, F3, 35) (dual of [2236, 2060, 36]-code) [i]
214Linear OA(3169, 2236, F3, 33) (dual of [2236, 2067, 34]-code) [i]
215Linear OA(3162, 2236, F3, 32) (dual of [2236, 2074, 33]-code) [i]
216Linear OA(3155, 2236, F3, 30) (dual of [2236, 2081, 31]-code) [i]
217Linear OA(3148, 2236, F3, 29) (dual of [2236, 2088, 30]-code) [i]
218Linear OA(3141, 2236, F3, 27) (dual of [2236, 2095, 28]-code) [i]
219Linear OA(3134, 2236, F3, 26) (dual of [2236, 2102, 27]-code) [i]
220Linear OA(3127, 2236, F3, 24) (dual of [2236, 2109, 25]-code) [i]
221Linear OA(3120, 2236, F3, 23) (dual of [2236, 2116, 24]-code) [i]
222Linear OA(3240, 769, F3, 59) (dual of [769, 529, 60]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
223Linear OA(3239, 767, F3, 59) (dual of [767, 528, 60]-code) [i]
224Linear OA(3130, 283, F3, 38) (dual of [283, 153, 39]-code) [i]
225Linear OA(3112, 275, F3, 32) (dual of [275, 163, 33]-code) [i]
226Linear OOA(314, 26, F3, 2, 6) (dual of [(26, 2), 38, 7]-NRT-code) [i]OOA Folding