Information on Result #2230392
Linear OA(398, 260, F3, 30) (dual of [260, 162, 31]-code), using 1 times truncation based on linear OA(399, 261, F3, 31) (dual of [261, 162, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(24) [i] based on
- linear OA(391, 243, F3, 31) (dual of [243, 152, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(381, 243, F3, 25) (dual of [243, 162, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(38, 18, F3, 5) (dual of [18, 10, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- discarding factors / shortening the dual code based on linear OA(38, 26, F3, 5) (dual of [26, 18, 6]-code), 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(398, 130, F3, 2, 30) (dual of [(130, 2), 162, 31]-NRT-code) | [i] | OOA Folding | |
2 | Linear OOA(398, 86, F3, 3, 30) (dual of [(86, 3), 160, 31]-NRT-code) | [i] |