Information on Result #675895
Linear OA(3162, 2194, F3, 35) (dual of [2194, 2032, 36]-code), using construction X applied to Ce(34) ⊂ Ce(33) based on
- linear OA(3162, 2187, F3, 35) (dual of [2187, 2025, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3155, 2187, F3, 34) (dual of [2187, 2032, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(30, 7, F3, 0) (dual of [7, 7, 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 OA(3163, 2195, F3, 35) (dual of [2195, 2032, 36]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3174, 2234, F3, 35) (dual of [2234, 2060, 36]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(3175, 2246, F3, 35) (dual of [2246, 2071, 36]-code) | [i] | ||
| 4 | Linear OA(3176, 2262, F3, 35) (dual of [2262, 2086, 36]-code) | [i] | ||
| 5 | Linear OA(3177, 2282, F3, 35) (dual of [2282, 2105, 36]-code) | [i] | ||
| 6 | Linear OA(3178, 2307, F3, 35) (dual of [2307, 2129, 36]-code) | [i] | ||
| 7 | Linear OA(3179, 2339, F3, 35) (dual of [2339, 2160, 36]-code) | [i] | ||
| 8 | Linear OA(3180, 2378, F3, 35) (dual of [2378, 2198, 36]-code) | [i] | ||
| 9 | Linear OA(3181, 2425, F3, 35) (dual of [2425, 2244, 36]-code) | [i] | ||
| 10 | Linear OA(3182, 2481, F3, 35) (dual of [2481, 2299, 36]-code) | [i] | ||
| 11 | Linear OA(3183, 2545, F3, 35) (dual of [2545, 2362, 36]-code) | [i] | ||
| 12 | Linear OA(3184, 2617, F3, 35) (dual of [2617, 2433, 36]-code) | [i] | ||
| 13 | Linear OOA(3162, 1097, F3, 2, 35) (dual of [(1097, 2), 2032, 36]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(3162, 731, F3, 3, 35) (dual of [(731, 3), 2031, 36]-NRT-code) | [i] | ||
| 15 | Linear OOA(3162, 548, F3, 4, 35) (dual of [(548, 4), 2030, 36]-NRT-code) | [i] | ||
| 16 | Linear OOA(3162, 438, F3, 5, 35) (dual of [(438, 5), 2028, 36]-NRT-code) | [i] | ||