Information on Result #1522763
Linear OOA(3121, 2846, F3, 3, 23) (dual of [(2846, 3), 8417, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3121, 2846, F3, 2, 23) (dual of [(2846, 2), 5571, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3121, 3284, F3, 2, 23) (dual of [(3284, 2), 6447, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3121, 6568, F3, 23) (dual of [6568, 6447, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(3121, 6569, F3, 23) (dual of [6569, 6448, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(3121, 6561, F3, 23) (dual of [6561, 6440, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3113, 6561, F3, 22) (dual of [6561, 6448, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(30, 8, F3, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(3121, 6569, F3, 23) (dual of [6569, 6448, 24]-code), using
- OOA 2-folding [i] based on linear OA(3121, 6568, F3, 23) (dual of [6568, 6447, 24]-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(3121, 1423, F3, 5, 23) (dual of [(1423, 5), 6994, 24]-NRT-code) | [i] | OOA Folding | |