Information on Result #675437
Linear OA(366, 6570, F3, 13) (dual of [6570, 6504, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- linear OA(365, 6561, F3, 13) (dual of [6561, 6496, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(357, 6561, F3, 11) (dual of [6561, 6504, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(31, 9, F3, 1) (dual of [9, 8, 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(365, 6569, F3, 12) (dual of [6569, 6504, 13]-code) | [i] | Truncation | |
| 2 | Linear OOA(366, 3285, F3, 2, 13) (dual of [(3285, 2), 6504, 14]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(366, 2190, F3, 3, 13) (dual of [(2190, 3), 6504, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(366, 1642, F3, 4, 13) (dual of [(1642, 4), 6502, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(366, 1314, F3, 5, 13) (dual of [(1314, 5), 6504, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(366, 1094, F3, 13, 13) (dual of [(1094, 13), 14156, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |