Information on Result #1648471
Linear OOA(3204, 1570970, F3, 5, 21) (dual of [(1570970, 5), 7854646, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3204, 1570970, F3, 3, 21) (dual of [(1570970, 3), 4712706, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3204, 1594339, F3, 3, 21) (dual of [(1594339, 3), 4782813, 22]-NRT-code), using
- 31 times duplication [i] 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
- 31 times duplication [i] based on linear OOA(3203, 1594339, F3, 3, 21) (dual of [(1594339, 3), 4782814, 22]-NRT-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(3204, 785484, F3, 25, 21) (dual of [(785484, 25), 19636896, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |