Information on Result #684172
Linear OA(571, 147, F5, 29) (dual of [147, 76, 30]-code), using construction X applied to Ce(30) ⊂ Ce(20) 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(549, 125, F5, 21) (dual of [125, 76, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(510, 22, F5, 7) (dual of [22, 12, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(510, 24, F5, 7) (dual of [24, 14, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(510, 24, F5, 7) (dual of [24, 14, 8]-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 OA(571, 147, F5, 28) (dual of [147, 76, 29]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(570, 146, F5, 28) (dual of [146, 76, 29]-code) | [i] | Truncation | |
| 3 | Linear OA(569, 145, F5, 27) (dual of [145, 76, 28]-code) | [i] | ||
| 4 | Linear OOA(571, 73, F5, 2, 29) (dual of [(73, 2), 75, 30]-NRT-code) | [i] | OOA Folding | |