Information on Result #677193
Linear OA(372, 249, F3, 22) (dual of [249, 177, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- linear OA(371, 243, F3, 22) (dual of [243, 172, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(366, 243, F3, 20) (dual of [243, 177, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(31, 6, F3, 1) (dual of [6, 5, 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
Mode: Constructive and 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 OA(378, 273, F3, 22) (dual of [273, 195, 23]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(379, 284, F3, 22) (dual of [284, 205, 23]-code) | [i] | ||
| 3 | Linear OA(380, 297, F3, 22) (dual of [297, 217, 23]-code) | [i] | ||
| 4 | Linear OOA(372, 124, F3, 2, 22) (dual of [(124, 2), 176, 23]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(372, 83, F3, 3, 22) (dual of [(83, 3), 177, 23]-NRT-code) | [i] | ||