Information on Result #1605222
Linear OOA(3152, 8087, F3, 4, 25) (dual of [(8087, 4), 32196, 26]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3152, 8087, F3, 2, 25) (dual of [(8087, 2), 16022, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3152, 9855, F3, 2, 25) (dual of [(9855, 2), 19558, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3152, 19710, F3, 25) (dual of [19710, 19558, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(19) [i] based on
- linear OA(3145, 19683, F3, 25) (dual of [19683, 19538, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3118, 19683, F3, 20) (dual of [19683, 19565, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
- an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- construction X applied to Ce(24) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(3152, 19710, F3, 25) (dual of [19710, 19558, 26]-code), using
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(3152, 2695, F3, 28, 25) (dual of [(2695, 28), 75308, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |