Information on Result #1534983
Linear OOA(486, 131083, F4, 3, 13) (dual of [(131083, 3), 393163, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(486, 131083, F4, 2, 13) (dual of [(131083, 2), 262080, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(486, 262166, F4, 13) (dual of [262166, 262080, 14]-code), using
- 1 times code embedding in larger space [i] based on linear OA(485, 262165, F4, 13) (dual of [262165, 262080, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(464, 262144, F4, 10) (dual of [262144, 262080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(12) ⊂ Ce(9) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(485, 262165, F4, 13) (dual of [262165, 262080, 14]-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(486, 65541, F4, 15, 13) (dual of [(65541, 15), 983029, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |