Information on Result #681586
Linear OA(4148, 282, F4, 51) (dual of [282, 134, 52]-code), using construction X applied to Ce(50) ⊂ Ce(42) based on
- linear OA(4137, 256, F4, 51) (dual of [256, 119, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(4121, 256, F4, 43) (dual of [256, 135, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(411, 26, F4, 7) (dual of [26, 15, 8]-code), using
- 4 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,4) [i]
- 4 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), 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 OOA(4148, 141, F4, 2, 51) (dual of [(141, 2), 134, 52]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4148, 94, F4, 3, 51) (dual of [(94, 3), 134, 52]-NRT-code) | [i] | ||