Information on Result #681450
Linear OA(463, 260, F4, 22) (dual of [260, 197, 23]-code), using construction X applied to Ce(21) ⊂ Ce(20) based on
- linear OA(463, 256, F4, 22) (dual of [256, 193, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(459, 256, F4, 21) (dual of [256, 197, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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(468, 279, F4, 22) (dual of [279, 211, 23]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(469, 291, F4, 22) (dual of [291, 222, 23]-code) | [i] | ||
| 3 | Linear OA(470, 307, F4, 22) (dual of [307, 237, 23]-code) | [i] | ||
| 4 | Linear OA(471, 325, F4, 22) (dual of [325, 254, 23]-code) | [i] | ||
| 5 | Linear OOA(463, 130, F4, 2, 22) (dual of [(130, 2), 197, 23]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(463, 86, F4, 3, 22) (dual of [(86, 3), 195, 23]-NRT-code) | [i] | ||