Information on Result #1540168
Linear OOA(4185, 32395, F4, 3, 31) (dual of [(32395, 3), 97000, 32]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4185, 32395, F4, 2, 31) (dual of [(32395, 2), 64605, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4185, 32772, F4, 2, 31) (dual of [(32772, 2), 65359, 32]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4185, 65544, F4, 31) (dual of [65544, 65359, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- linear OA(4185, 65536, F4, 31) (dual of [65536, 65351, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(40, 8, F4, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- OOA 2-folding [i] based on linear OA(4185, 65544, F4, 31) (dual of [65544, 65359, 32]-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(4185, 6478, F4, 33, 31) (dual of [(6478, 33), 213589, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |