Information on Result #681226
Linear OA(498, 347, F4, 29) (dual of [347, 249, 30]-code), using construction X applied to Ce(28) ⊂ Ce(25) based on
- linear OA(496, 342, F4, 29) (dual of [342, 246, 30]-code), using an extension Ce(28) of the narrow-sense BCH-code C(I) with length 341 | 45−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(491, 342, F4, 26) (dual of [342, 251, 27]-code), using an extension Ce(25) of the narrow-sense BCH-code C(I) with length 341 | 45−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
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(498, 173, F4, 2, 29) (dual of [(173, 2), 248, 30]-NRT-code) | [i] | OOA Folding | |