Information on Result #684330
Linear OA(573, 150, F5, 29) (dual of [150, 77, 30]-code), using construction XX applied to Ce(30) ⊂ Ce(20) ⊂ Ce(18) 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(546, 125, F5, 19) (dual of [125, 79, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(510, 23, F5, 7) (dual of [23, 13, 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
- linear OA(51, 2, F5, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
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(572, 149, F5, 28) (dual of [149, 77, 29]-code) | [i] | Truncation | |
| 2 | Linear OOA(573, 75, F5, 2, 29) (dual of [(75, 2), 77, 30]-NRT-code) | [i] | OOA Folding | |