Information on Result #675986
Linear OA(358, 2203, F3, 12) (dual of [2203, 2145, 13]-code), using construction X4 applied to Ce(12) ⊂ Ce(9) based on
- linear OA(357, 2187, F3, 13) (dual of [2187, 2130, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(343, 2187, F3, 10) (dual of [2187, 2144, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(315, 16, F3, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,3)), using
- dual of repetition code with length 16 [i]
- linear OA(31, 16, F3, 1) (dual of [16, 15, 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(359, 2204, F3, 12) (dual of [2204, 2145, 13]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(360, 2205, F3, 12) (dual of [2205, 2145, 13]-code) | [i] | ||
| 3 | Linear OA(361, 2209, F3, 12) (dual of [2209, 2148, 13]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(362, 2214, F3, 12) (dual of [2214, 2152, 13]-code) | [i] | ||
| 5 | Linear OA(363, 2222, F3, 12) (dual of [2222, 2159, 13]-code) | [i] | ||
| 6 | Linear OA(360, 2206, F3, 12) (dual of [2206, 2146, 13]-code) | [i] | Construction X with Varšamov Bound | |
| 7 | Linear OA(361, 2208, F3, 12) (dual of [2208, 2147, 13]-code) | [i] | ||
| 8 | Linear OA(362, 2210, F3, 12) (dual of [2210, 2148, 13]-code) | [i] | ||