Information on Result #681569
Linear OA(463, 270, F4, 21) (dual of [270, 207, 22]-code), using construction X applied to Ce(20) ⊂ Ce(16) based on
- 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(449, 256, F4, 17) (dual of [256, 207, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(44, 14, F4, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,4)), 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(464, 271, F4, 21) (dual of [271, 207, 22]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(462, 269, F4, 20) (dual of [269, 207, 21]-code) | [i] | Truncation | |
| 3 | Linear OA(464, 272, F4, 21) (dual of [272, 208, 22]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OOA(463, 135, F4, 2, 21) (dual of [(135, 2), 207, 22]-NRT-code) | [i] | OOA Folding | |