Information on Result #684138
Linear OA(574, 144, F5, 32) (dual of [144, 70, 33]-code), using construction X applied to Ce(31) ⊂ Ce(22) based on
- linear OA(562, 125, F5, 32) (dual of [125, 63, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(555, 125, F5, 23) (dual of [125, 70, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(512, 19, F5, 8) (dual of [19, 7, 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(574, 72, F5, 2, 32) (dual of [(72, 2), 70, 33]-NRT-code) | [i] | OOA Folding | |