Information on Result #1540459
Linear OOA(4189, 41500, F4, 3, 30) (dual of [(41500, 3), 124311, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4189, 41500, F4, 30) (dual of [41500, 41311, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(4189, 65580, F4, 30) (dual of [65580, 65391, 31]-code), using
- 5 times code embedding in larger space [i] based on linear OA(4184, 65575, F4, 30) (dual of [65575, 65391, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4145, 65536, F4, 25) (dual of [65536, 65391, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(47, 39, F4, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- 5 times code embedding in larger space [i] based on linear OA(4184, 65575, F4, 30) (dual of [65575, 65391, 31]-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(4189, 8299, F4, 33, 30) (dual of [(8299, 33), 273678, 31]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |