Information on Result #1549786
Linear OOA(5124, 66371, F5, 3, 21) (dual of [(66371, 3), 198989, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5124, 66371, F5, 21) (dual of [66371, 66247, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(5124, 78170, F5, 21) (dual of [78170, 78046, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(13) [i] based on
- linear OA(5113, 78125, F5, 21) (dual of [78125, 78012, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(578, 78125, F5, 14) (dual of [78125, 78047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(511, 45, F5, 6) (dual of [45, 34, 7]-code), using
- construction X applied to Ce(20) ⊂ 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(5124, 16592, F5, 27, 21) (dual of [(16592, 27), 447860, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |