Information on Result #613733
Linear OA(561, 3125, F5, 16) (dual of [3125, 3064, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(560, 3124, F5, 15) (dual of [3124, 3064, 16]-code) | [i] | Truncation | |
| 2 | Linear OA(569, 3134, F5, 16) (dual of [3134, 3065, 17]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(570, 3136, F5, 16) (dual of [3136, 3066, 17]-code) | [i] | ||
| 4 | Linear OA(571, 3138, F5, 16) (dual of [3138, 3067, 17]-code) | [i] | ||
| 5 | Linear OA(567, 3164, F5, 16) (dual of [3164, 3097, 17]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(568, 3201, F5, 16) (dual of [3201, 3133, 17]-code) | [i] | ||
| 7 | Linear OA(569, 3267, F5, 16) (dual of [3267, 3198, 17]-code) | [i] | ||
| 8 | Linear OA(570, 3376, F5, 16) (dual of [3376, 3306, 17]-code) | [i] | ||
| 9 | Linear OA(571, 3546, F5, 16) (dual of [3546, 3475, 17]-code) | [i] | ||
| 10 | Linear OA(566, 3130, F5, 17) (dual of [3130, 3064, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(562, 3131, F5, 16) (dual of [3131, 3069, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(572, 3136, F5, 18) (dual of [3136, 3064, 19]-code) | [i] | ✔ | |
| 13 | Linear OA(564, 3138, F5, 16) (dual of [3138, 3074, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(579, 3143, F5, 19) (dual of [3143, 3064, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(565, 3144, F5, 16) (dual of [3144, 3079, 17]-code) | [i] | ✔ | |
| 16 | Linear OA(588, 3151, F5, 21) (dual of [3151, 3063, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(589, 3153, F5, 21) (dual of [3153, 3064, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(585, 3149, F5, 20) (dual of [3149, 3064, 21]-code) | [i] | ✔ | |
| 19 | Linear OA(568, 3151, F5, 16) (dual of [3151, 3083, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(569, 3153, F5, 16) (dual of [3153, 3084, 17]-code) | [i] | ✔ | |
| 21 | Linear OA(596, 3160, F5, 22) (dual of [3160, 3064, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(5103, 3167, F5, 23) (dual of [3167, 3064, 24]-code) | [i] | ✔ | |
| 23 | Linear OA(5110, 3174, F5, 24) (dual of [3174, 3064, 25]-code) | [i] | ✔ | |
| 24 | Linear OA(5117, 3177, F5, 25) (dual of [3177, 3060, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(587, 3151, F5, 21) (dual of [3151, 3064, 22]-code) | [i] | ✔ | |
| 26 | Linear OA(567, 3151, F5, 16) (dual of [3151, 3084, 17]-code) | [i] | ✔ | |
| 27 | Linear OA(593, 3153, F5, 22) (dual of [3153, 3060, 23]-code) | [i] | ✔ | |
| 28 | Linear OA(594, 3158, F5, 22) (dual of [3158, 3064, 23]-code) | [i] | ✔ | |
| 29 | Linear OA(571, 3158, F5, 16) (dual of [3158, 3087, 17]-code) | [i] | ✔ | |
| 30 | Linear OA(569, 3158, F5, 15) (dual of [3158, 3089, 16]-code) | [i] | ✔ | |
| 31 | Linear OA(5102, 3166, F5, 23) (dual of [3166, 3064, 24]-code) | [i] | ✔ | |
| 32 | Linear OA(595, 3155, F5, 22) (dual of [3155, 3060, 23]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 33 | Linear OA(587, 3148, F5, 21) (dual of [3148, 3061, 22]-code) | [i] | ✔ | |
| 34 | Linear OA(586, 3146, F5, 21) (dual of [3146, 3060, 22]-code) | [i] | ✔ | |
| 35 | Linear OA(590, 3157, F5, 20) (dual of [3157, 3067, 21]-code) | [i] | ✔ | |
| 36 | Linear OA(592, 3158, F5, 21) (dual of [3158, 3066, 22]-code) | [i] | ✔ | |
| 37 | Linear OA(588, 3154, F5, 20) (dual of [3154, 3066, 21]-code) | [i] | ✔ | |
| 38 | Linear OA(587, 3152, F5, 20) (dual of [3152, 3065, 21]-code) | [i] | ✔ | |
| 39 | Linear OA(578, 3138, F5, 19) (dual of [3138, 3060, 20]-code) | [i] | ✔ | |
| 40 | Linear OA(582, 3148, F5, 19) (dual of [3148, 3066, 20]-code) | [i] | ✔ | |
| 41 | Linear OA(581, 3146, F5, 19) (dual of [3146, 3065, 20]-code) | [i] | ✔ | |
| 42 | Linear OA(574, 3139, F5, 18) (dual of [3139, 3065, 19]-code) | [i] | ✔ | |
| 43 | Linear OA(568, 3133, F5, 17) (dual of [3133, 3065, 18]-code) | [i] | ✔ | |
| 44 | Linear OA(563, 3133, F5, 16) (dual of [3133, 3070, 17]-code) | [i] | ✔ | |
| 45 | Linear OA(567, 3148, F5, 16) (dual of [3148, 3081, 17]-code) | [i] | ✔ | |
| 46 | Linear OA(566, 3146, F5, 16) (dual of [3146, 3080, 17]-code) | [i] | ✔ | |
| 47 | Linear OA(570, 3157, F5, 15) (dual of [3157, 3087, 16]-code) | [i] | ✔ | |
| 48 | Linear OA(568, 3154, F5, 15) (dual of [3154, 3086, 16]-code) | [i] | ✔ | |
| 49 | Linear OA(571, 3156, F5, 16) (dual of [3156, 3085, 17]-code) | [i] | ✔ | |
| 50 | Linear OA(590, 3156, F5, 21) (dual of [3156, 3066, 22]-code) | [i] | ✔ | |
| 51 | Linear OA(570, 3156, F5, 16) (dual of [3156, 3086, 17]-code) | [i] | ✔ | |
| 52 | Linear OA(569, 3154, F5, 16) (dual of [3154, 3085, 17]-code) | [i] | ✔ | |
| 53 | Linear OA(562, 3142, F5, 14) (dual of [3142, 3080, 15]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 54 | Linear OOA(561, 1562, F5, 2, 16) (dual of [(1562, 2), 3063, 17]-NRT-code) | [i] | OOA Folding | |
| 55 | Linear OOA(561, 1041, F5, 3, 16) (dual of [(1041, 3), 3062, 17]-NRT-code) | [i] | ||
| 56 | Linear OOA(561, 390, F5, 16, 16) (dual of [(390, 16), 6179, 17]-NRT-code) | [i] | OA Folding and Stacking | |