Information on Result #1650199
Linear OOA(3224, 8793, F3, 5, 37) (dual of [(8793, 5), 43741, 38]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3224, 8793, F3, 2, 37) (dual of [(8793, 2), 17362, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3224, 9855, F3, 2, 37) (dual of [(9855, 2), 19486, 38]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3224, 19710, F3, 37) (dual of [19710, 19486, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(31) [i] based on
- linear OA(3217, 19683, F3, 37) (dual of [19683, 19466, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3190, 19683, F3, 32) (dual of [19683, 19493, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [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(36) ⊂ Ce(31) [i] based on
- OOA 2-folding [i] based on linear OA(3224, 19710, F3, 37) (dual of [19710, 19486, 38]-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(3224, 2198, F3, 45, 37) (dual of [(2198, 45), 98686, 38]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |