Information on Result #1535240
Linear OOA(494, 131082, F4, 3, 14) (dual of [(131082, 3), 393152, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(494, 131082, F4, 2, 14) (dual of [(131082, 2), 262070, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(494, 262164, F4, 14) (dual of [262164, 262070, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(494, 262165, F4, 14) (dual of [262165, 262071, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- linear OA(491, 262144, F4, 14) (dual of [262144, 262053, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(473, 262144, F4, 11) (dual of [262144, 262071, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(494, 262165, F4, 14) (dual of [262165, 262071, 15]-code), using
Mode: 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(494, 43693, F4, 21, 14) (dual of [(43693, 21), 917459, 15]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |