Information on Result #1547901
Linear OOA(574, 7816, F5, 3, 16) (dual of [(7816, 3), 23374, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(574, 7816, F5, 2, 16) (dual of [(7816, 2), 15558, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(574, 15632, F5, 16) (dual of [15632, 15558, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(573, 15625, F5, 16) (dual of [15625, 15552, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(567, 15625, F5, 14) (dual of [15625, 15558, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(15) ⊂ 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(574, 2605, F5, 21, 16) (dual of [(2605, 21), 54631, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |