Information on Result #1648387
Linear OOA(3203, 1472657, F3, 5, 21) (dual of [(1472657, 5), 7363082, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3203, 1472657, F3, 3, 21) (dual of [(1472657, 3), 4417768, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3203, 1594339, F3, 3, 21) (dual of [(1594339, 3), 4782814, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3203, 4783017, F3, 21) (dual of [4783017, 4782814, 22]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(3197, 4782969, F3, 22) (dual of [4782969, 4782772, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- OOA 3-folding [i] based on linear OA(3203, 4783017, F3, 21) (dual of [4783017, 4782814, 22]-code), using
Mode: 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(3203, 736328, F3, 25, 21) (dual of [(736328, 25), 18407997, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |