Information on Result #1549687
Linear OOA(5122, 8173, F5, 3, 26) (dual of [(8173, 3), 24397, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5122, 8173, F5, 26) (dual of [8173, 8051, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(5122, 15632, F5, 26) (dual of [15632, 15510, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(5115, 15625, F5, 24) (dual of [15625, 15510, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(51, 7, F5, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(23) [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(5122, 1634, F5, 33, 26) (dual of [(1634, 33), 53800, 27]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |