Information on Result #1536265
Linear OOA(4120, 39183, F4, 3, 19) (dual of [(39183, 3), 117429, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4120, 39183, F4, 19) (dual of [39183, 39063, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(4120, 65575, F4, 19) (dual of [65575, 65455, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(13) [i] based on
- linear OA(4113, 65536, F4, 19) (dual of [65536, 65423, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(481, 65536, F4, 14) (dual of [65536, 65455, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(18) ⊂ Ce(13) [i] based on
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(4120, 13060, F4, 21, 19) (dual of [(13060, 21), 274140, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |