Information on Result #736829
Linear OA(3222, 4783036, F3, 23) (dual of [4783036, 4782814, 24]-code), using construction X applied to Ce(22) ⊂ Ce(16) based on
- linear OA(3211, 4782969, F3, 23) (dual of [4782969, 4782758, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3155, 4782969, F3, 17) (dual of [4782969, 4782814, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(311, 67, F3, 5) (dual of [67, 56, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 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 OA(3223, 4783037, F3, 23) (dual of [4783037, 4782814, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3225, 4783039, F3, 23) (dual of [4783039, 4782814, 24]-code) | [i] | ||
| 3 | Linear OOA(3222, 2391518, F3, 2, 23) (dual of [(2391518, 2), 4782814, 24]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3222, 1594345, F3, 3, 23) (dual of [(1594345, 3), 4782813, 24]-NRT-code) | [i] | ||
| 5 | Linear OOA(3222, 1195759, F3, 4, 23) (dual of [(1195759, 4), 4782814, 24]-NRT-code) | [i] | ||
| 6 | Linear OOA(3222, 956607, F3, 5, 23) (dual of [(956607, 5), 4782813, 24]-NRT-code) | [i] | ||
| 7 | Linear OOA(3222, 434821, F3, 23, 23) (dual of [(434821, 23), 10000661, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |