Information on Result #1608859
Linear OOA(3203, 151851, F3, 4, 25) (dual of [(151851, 4), 607201, 26]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3203, 151851, F3, 3, 25) (dual of [(151851, 3), 455350, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3203, 177162, F3, 3, 25) (dual of [(177162, 3), 531283, 26]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3202, 177162, F3, 3, 25) (dual of [(177162, 3), 531284, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3202, 531486, F3, 25) (dual of [531486, 531284, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(19) [i] based on
- linear OA(3193, 531441, F3, 25) (dual of [531441, 531248, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3157, 531441, F3, 20) (dual of [531441, 531284, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(39, 45, F3, 4) (dual of [45, 36, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(39, 80, F3, 4) (dual of [80, 71, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(39, 80, F3, 4) (dual of [80, 71, 5]-code), using
- construction X applied to Ce(24) ⊂ Ce(19) [i] based on
- OOA 3-folding [i] based on linear OA(3202, 531486, F3, 25) (dual of [531486, 531284, 26]-code), using
- 31 times duplication [i] based on linear OOA(3202, 177162, F3, 3, 25) (dual of [(177162, 3), 531284, 26]-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(3203, 50616, F3, 28, 25) (dual of [(50616, 28), 1417045, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |