Information on Result #1531345
Linear OOA(3231, 4329, F3, 3, 42) (dual of [(4329, 3), 12756, 43]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3231, 4329, F3, 42) (dual of [4329, 4098, 43]-code), using
- discarding factors / shortening the dual code based on linear OA(3231, 6591, F3, 42) (dual of [6591, 6360, 43]-code), using
- construction X applied to Ce(42) ⊂ Ce(37) [i] based on
- linear OA(3225, 6561, F3, 43) (dual of [6561, 6336, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3201, 6561, F3, 38) (dual of [6561, 6360, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(36, 30, F3, 3) (dual of [30, 24, 4]-code or 30-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(42) ⊂ Ce(37) [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(3231, 2164, F3, 5, 42) (dual of [(2164, 5), 10589, 43]-NRT-code) | [i] | OOA Folding | |