Information on Result #1060736
Linear OOA(3246, 2391493, F3, 4, 20) (dual of [(2391493, 4), 9565726, 21]-NRT-code), using OOA 2-folding based on linear OOA(3246, 4782986, F3, 2, 20) (dual of [(4782986, 2), 9565726, 21]-NRT-code), using
- trace code [i] based on linear OOA(9123, 2391493, F9, 2, 20) (dual of [(2391493, 2), 4782863, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9123, 4782986, F9, 20) (dual of [4782986, 4782863, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(16) [i] based on
- linear OA(9120, 4782969, F9, 20) (dual of [4782969, 4782849, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(93, 17, F9, 2) (dual of [17, 14, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- construction X applied to Ce(19) ⊂ Ce(16) [i] based on
- OOA 2-folding [i] based on linear OA(9123, 4782986, F9, 20) (dual of [4782986, 4782863, 21]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(3247, 2391493, F3, 4, 20) (dual of [(2391493, 4), 9565725, 21]-NRT-code) | [i] | OOA Duplication | |