Information on Result #1604879
Linear OOA(3146, 6564, F3, 4, 25) (dual of [(6564, 4), 26110, 26]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3146, 6564, F3, 3, 25) (dual of [(6564, 3), 19546, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3146, 19692, F3, 25) (dual of [19692, 19546, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3146, 19693, F3, 25) (dual of [19693, 19547, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(3145, 19683, F3, 25) (dual of [19683, 19538, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3136, 19683, F3, 23) (dual of [19683, 19547, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(31, 10, F3, 1) (dual of [10, 9, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(3146, 19693, F3, 25) (dual of [19693, 19547, 26]-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(3147, 6564, F3, 4, 25) (dual of [(6564, 4), 26109, 26]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3146, 2187, F3, 28, 25) (dual of [(2187, 28), 61090, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |