Information on Result #681517
Linear OA(454, 265, F4, 18) (dual of [265, 211, 19]-code), using construction X applied to Ce(17) ⊂ Ce(14) based on
- linear OA(451, 256, F4, 18) (dual of [256, 205, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(445, 256, F4, 15) (dual of [256, 211, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(43, 9, F4, 2) (dual of [9, 6, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-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(454, 132, F4, 2, 18) (dual of [(132, 2), 210, 19]-NRT-code) | [i] | OOA Folding | |