Information on Result #1535952
Linear OOA(4113, 32772, F4, 3, 19) (dual of [(32772, 3), 98203, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4113, 32772, F4, 2, 19) (dual of [(32772, 2), 65431, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4113, 65544, F4, 19) (dual of [65544, 65431, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(4113, 65536, F4, 19) (dual of [65536, 65423, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(4105, 65536, F4, 18) (dual of [65536, 65431, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(18) ⊂ Ce(17) [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(4113, 10923, F4, 21, 19) (dual of [(10923, 21), 229270, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |