Information on Result #1643408
Linear OOA(3127, 7753, F3, 5, 21) (dual of [(7753, 5), 38638, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3127, 7753, F3, 2, 21) (dual of [(7753, 2), 15379, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3127, 9846, F3, 2, 21) (dual of [(9846, 2), 19565, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3127, 19692, F3, 21) (dual of [19692, 19565, 22]-code), using
- 1 times truncation [i] based on linear OA(3128, 19693, F3, 22) (dual of [19693, 19565, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(19) [i] based on
- linear OA(3127, 19683, F3, 22) (dual of [19683, 19556, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3118, 19683, F3, 20) (dual of [19683, 19565, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(21) ⊂ Ce(19) [i] based on
- 1 times truncation [i] based on linear OA(3128, 19693, F3, 22) (dual of [19693, 19565, 23]-code), using
- OOA 2-folding [i] based on linear OA(3127, 19692, F3, 21) (dual of [19692, 19565, 22]-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(3127, 3876, F3, 25, 21) (dual of [(3876, 25), 96773, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |