Information on Result #1641059
Linear OOA(361, 3290, F3, 5, 11) (dual of [(3290, 5), 16389, 12]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(361, 3290, F3, 2, 11) (dual of [(3290, 2), 6519, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(361, 6580, F3, 11) (dual of [6580, 6519, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(361, 6581, F3, 11) (dual of [6581, 6520, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- linear OA(357, 6561, F3, 11) (dual of [6561, 6504, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(341, 6561, F3, 8) (dual of [6561, 6520, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(34, 20, F3, 2) (dual of [20, 16, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(10) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(361, 6581, F3, 11) (dual of [6581, 6520, 12]-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(361, 3289, F3, 15, 11) (dual of [(3289, 15), 49274, 12]-NRT-code) | [i] | OOA Stacking with Additional Row | |