Information on Result #677207
Linear OA(316, 248, F3, 5) (dual of [248, 232, 6]-code), using construction X applied to Ce(4) ⊂ Ce(3) based on
- linear OA(316, 243, F3, 5) (dual of [243, 227, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(311, 243, F3, 4) (dual of [243, 232, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(30, 5, F3, 0) (dual of [5, 5, 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
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 OOA(316, 124, F3, 2, 5) (dual of [(124, 2), 232, 6]-NRT-code) | [i] | OOA Folding | |