Information on Result #613840
Linear OA(591, 3126, F5, 23) (dual of [3126, 3035, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound)
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(5104, 3142, F5, 23) (dual of [3142, 3038, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(5105, 3144, F5, 23) (dual of [3144, 3039, 24]-code) | [i] | ||
| 3 | Linear OA(5106, 3156, F5, 23) (dual of [3156, 3050, 24]-code) | [i] | ||
| 4 | Linear OA(5102, 3138, F5, 23) (dual of [3138, 3036, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(5102, 3137, F5, 25) (dual of [3137, 3035, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(592, 3137, F5, 23) (dual of [3137, 3045, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(5115, 3150, F5, 27) (dual of [3150, 3035, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(598, 3147, F5, 23) (dual of [3147, 3049, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(599, 3150, F5, 23) (dual of [3150, 3051, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(5100, 3153, F5, 23) (dual of [3153, 3053, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(5101, 3156, F5, 23) (dual of [3156, 3055, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(598, 3152, F5, 22) (dual of [3152, 3054, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(599, 3154, F5, 22) (dual of [3154, 3055, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(5135, 3170, F5, 31) (dual of [3170, 3035, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(5133, 3168, F5, 30) (dual of [3168, 3035, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(5131, 3166, F5, 29) (dual of [3166, 3035, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(5129, 3164, F5, 28) (dual of [3164, 3035, 29]-code) | [i] | ✔ | |
| 18 | Linear OA(5105, 3170, F5, 23) (dual of [3170, 3065, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(5149, 3178, F5, 33) (dual of [3178, 3029, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(5147, 3178, F5, 32) (dual of [3178, 3031, 33]-code) | [i] | ✔ | |
| 21 | Linear OA(5149, 3184, F5, 32) (dual of [3184, 3035, 33]-code) | [i] | ✔ | |
| 22 | Linear OA(598, 3153, F5, 23) (dual of [3153, 3055, 24]-code) | [i] | ✔ | |
| 23 | Linear OA(5132, 3159, F5, 31) (dual of [3159, 3027, 32]-code) | [i] | ✔ | |
| 24 | Linear OA(5132, 3167, F5, 30) (dual of [3167, 3035, 31]-code) | [i] | ✔ | |
| 25 | Linear OA(5150, 3182, F5, 33) (dual of [3182, 3032, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(5130, 3158, F5, 29) (dual of [3158, 3028, 30]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 27 | Linear OA(5128, 3156, F5, 28) (dual of [3156, 3028, 29]-code) | [i] | ✔ | |
| 28 | Linear OA(5120, 3158, F5, 27) (dual of [3158, 3038, 28]-code) | [i] | ✔ | |
| 29 | Linear OA(5118, 3156, F5, 26) (dual of [3156, 3038, 27]-code) | [i] | ✔ | |