Information on Result #707178
Linear OA(4176, 257, F4, 86) (dual of [257, 81, 87]-code), using the BCH-code C(I) with length 257 | 48−1, defining interval I = {86,87,…,171}, and designed minimum distance d ≥ |I|+1 = 87
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4176, 257, F4, 85) (dual of [257, 81, 86]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4176, 257, F4, 84) (dual of [257, 81, 85]-code) | [i] | ||
| 3 | Linear OA(4176, 257, F4, 83) (dual of [257, 81, 84]-code) | [i] | ||
| 4 | Linear OA(4176, 257, F4, 82) (dual of [257, 81, 83]-code) | [i] | ||
| 5 | Linear OA(4176, 257, F4, 81) (dual of [257, 81, 82]-code) | [i] | ||
| 6 | Linear OA(4176, 257, F4, 80) (dual of [257, 81, 81]-code) | [i] | ||
| 7 | Linear OA(4176, 257, F4, 79) (dual of [257, 81, 80]-code) | [i] | ||
| 8 | Linear OA(4176, 257, F4, 78) (dual of [257, 81, 79]-code) | [i] | ||
| 9 | Linear OA(4176, 257, F4, 77) (dual of [257, 81, 78]-code) | [i] | ||
| 10 | Linear OA(4176, 257, F4, 76) (dual of [257, 81, 77]-code) | [i] | ||
| 11 | Linear OA(4177, 258, F4, 86) (dual of [258, 81, 87]-code) | [i] | Code Embedding in Larger Space | |
| 12 | Linear OA(4178, 259, F4, 86) (dual of [259, 81, 87]-code) | [i] | ||
| 13 | Linear OA(4179, 260, F4, 86) (dual of [260, 81, 87]-code) | [i] | ||
| 14 | Linear OA(4182, 263, F4, 86) (dual of [263, 81, 87]-code) | [i] | ||
| 15 | Linear OA(4173, 254, F4, 83) (dual of [254, 81, 84]-code) | [i] | Truncation | |
| 16 | Linear OA(4172, 253, F4, 82) (dual of [253, 81, 83]-code) | [i] | ||
| 17 | Linear OA(4171, 252, F4, 81) (dual of [252, 81, 82]-code) | [i] | ||
| 18 | Linear OA(4170, 251, F4, 80) (dual of [251, 81, 81]-code) | [i] | ||
| 19 | Linear OA(4169, 250, F4, 79) (dual of [250, 81, 80]-code) | [i] | ||
| 20 | Linear OA(4168, 249, F4, 78) (dual of [249, 81, 79]-code) | [i] | ||
| 21 | Linear OA(4167, 248, F4, 77) (dual of [248, 81, 78]-code) | [i] | ||
| 22 | Linear OA(4166, 247, F4, 76) (dual of [247, 81, 77]-code) | [i] | ||
| 23 | Linear OA(4165, 246, F4, 75) (dual of [246, 81, 76]-code) | [i] | ||
| 24 | Linear OA(4164, 245, F4, 74) (dual of [245, 81, 75]-code) | [i] | ||
| 25 | Linear OA(4163, 244, F4, 73) (dual of [244, 81, 74]-code) | [i] | ||
| 26 | Linear OA(4162, 243, F4, 72) (dual of [243, 81, 73]-code) | [i] | ||
| 27 | Linear OA(4161, 242, F4, 71) (dual of [242, 81, 72]-code) | [i] | ||
| 28 | Linear OA(4160, 241, F4, 70) (dual of [241, 81, 71]-code) | [i] | ||
| 29 | Linear OA(4159, 240, F4, 69) (dual of [240, 81, 70]-code) | [i] | ||
| 30 | Linear OA(4158, 239, F4, 68) (dual of [239, 81, 69]-code) | [i] | ||
| 31 | Linear OA(4157, 238, F4, 67) (dual of [238, 81, 68]-code) | [i] | ||
| 32 | Linear OA(4156, 237, F4, 66) (dual of [237, 81, 67]-code) | [i] | ||
| 33 | Linear OA(4155, 236, F4, 65) (dual of [236, 81, 66]-code) | [i] | ||
| 34 | Linear OA(4154, 235, F4, 64) (dual of [235, 81, 65]-code) | [i] | ||
| 35 | Linear OA(4187, 274, F4, 86) (dual of [274, 87, 87]-code) | [i] | Varšamov–Edel Lengthening | |
| 36 | Linear OA(4188, 277, F4, 86) (dual of [277, 89, 87]-code) | [i] | ||
| 37 | Linear OA(4190, 284, F4, 86) (dual of [284, 94, 87]-code) | [i] | ||
| 38 | Linear OA(4191, 288, F4, 86) (dual of [288, 97, 87]-code) | [i] | ||
| 39 | Linear OA(4185, 266, F4, 88) (dual of [266, 81, 89]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 40 | Linear OA(4182, 264, F4, 86) (dual of [264, 82, 87]-code) | [i] | Construction X with Varšamov Bound | |
| 41 | Linear OA(4184, 267, F4, 86) (dual of [267, 83, 87]-code) | [i] | ||
| 42 | Linear OA(4185, 269, F4, 86) (dual of [269, 84, 87]-code) | [i] | ||
| 43 | Linear OA(4186, 271, F4, 86) (dual of [271, 85, 87]-code) | [i] | ||