Information on Result #1549683
Linear OOA(5122, 2942, F5, 3, 30) (dual of [(2942, 3), 8704, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5122, 2942, F5, 30) (dual of [2942, 2820, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(5122, 3136, F5, 30) (dual of [3136, 3014, 31]-code), using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- linear OA(5121, 3125, F5, 31) (dual of [3125, 3004, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(5111, 3125, F5, 28) (dual of [3125, 3014, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(51, 11, F5, 1) (dual of [11, 10, 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(30) ⊂ Ce(27) [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, 588, F5, 33, 30) (dual of [(588, 33), 19282, 31]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |