Information on Result #1546900
Linear OOA(4260, 41560, F4, 3, 42) (dual of [(41560, 3), 124420, 43]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4260, 41560, F4, 42) (dual of [41560, 41300, 43]-code), using
- discarding factors / shortening the dual code based on linear OA(4260, 65579, F4, 42) (dual of [65579, 65319, 43]-code), using
- 4 times code embedding in larger space [i] based on linear OA(4256, 65575, F4, 42) (dual of [65575, 65319, 43]-code), using
- construction X applied to Ce(41) ⊂ Ce(36) [i] based on
- linear OA(4249, 65536, F4, 42) (dual of [65536, 65287, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4217, 65536, F4, 37) (dual of [65536, 65319, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(41) ⊂ Ce(36) [i] based on
- 4 times code embedding in larger space [i] based on linear OA(4256, 65575, F4, 42) (dual of [65575, 65319, 43]-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(4260, 5937, F4, 45, 42) (dual of [(5937, 45), 266905, 43]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |