Information on Result #684139
Linear OA(573, 146, F5, 31) (dual of [146, 73, 32]-code), using construction X applied to Ce(30) ⊂ Ce(21) based on
- linear OA(561, 125, F5, 31) (dual of [125, 64, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(552, 125, F5, 22) (dual of [125, 73, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(512, 21, F5, 8) (dual of [21, 9, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(512, 24, F5, 8) (dual of [24, 12, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(512, 24, F5, 8) (dual of [24, 12, 9]-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 OOA(573, 73, F5, 2, 31) (dual of [(73, 2), 73, 32]-NRT-code) | [i] | OOA Folding | |