Information on Result #2204047
Linear OA(4181, 262, F4, 86) (dual of [262, 81, 87]-code), using strength reduction based on linear OA(4181, 262, F4, 87) (dual of [262, 81, 88]-code), using
- construction X applied to Ce(86) ⊂ Ce(84) [i] based on
- linear OA(4180, 256, F4, 87) (dual of [256, 76, 88]-code), using an extension Ce(86) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,86], and designed minimum distance d ≥ |I|+1 = 87 [i]
- linear OA(4175, 256, F4, 85) (dual of [256, 81, 86]-code), using an extension Ce(84) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85 [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(4180, 261, F4, 85) (dual of [261, 81, 86]-code) | [i] | Truncation | |
| 2 | Linear OA(4179, 260, F4, 84) (dual of [260, 81, 85]-code) | [i] | ||
| 3 | Linear OA(4178, 259, F4, 83) (dual of [259, 81, 84]-code) | [i] | ||
| 4 | Linear OA(4177, 258, F4, 82) (dual of [258, 81, 83]-code) | [i] | ||
| 5 | Linear OA(4173, 254, F4, 78) (dual of [254, 81, 79]-code) | [i] | ||
| 6 | Linear OA(4172, 253, F4, 77) (dual of [253, 81, 78]-code) | [i] | ||
| 7 | Linear OA(4171, 252, F4, 76) (dual of [252, 81, 77]-code) | [i] | ||
| 8 | Linear OA(4170, 251, F4, 75) (dual of [251, 81, 76]-code) | [i] | ||
| 9 | Linear OA(4169, 250, F4, 74) (dual of [250, 81, 75]-code) | [i] | ||
| 10 | Linear OA(4168, 249, F4, 73) (dual of [249, 81, 74]-code) | [i] | ||
| 11 | Linear OA(4167, 248, F4, 72) (dual of [248, 81, 73]-code) | [i] | ||
| 12 | Linear OA(4166, 247, F4, 71) (dual of [247, 81, 72]-code) | [i] | ||
| 13 | Linear OA(4165, 246, F4, 70) (dual of [246, 81, 71]-code) | [i] | ||