Information on Result #712365
Linear OA(5150, 664, F5, 44) (dual of [664, 514, 45]-code), using construction XX applied to C1 = C([116,155]), C2 = C([121,159]), C3 = C1 + C2 = C([121,155]), and C∩ = C1 ∩ C2 = C([116,159]) based on
- linear OA(5126, 624, F5, 40) (dual of [624, 498, 41]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {116,117,…,155}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(5123, 624, F5, 39) (dual of [624, 501, 40]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {121,122,…,159}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(5139, 624, F5, 44) (dual of [624, 485, 45]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {116,117,…,159}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(5110, 624, F5, 35) (dual of [624, 514, 36]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {121,122,…,155}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(57, 23, F5, 4) (dual of [23, 16, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 24, F5, 4) (dual of [24, 17, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(57, 24, F5, 4) (dual of [24, 17, 5]-code), using
- linear OA(54, 17, F5, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,5)), 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(5150, 332, F5, 2, 44) (dual of [(332, 2), 514, 45]-NRT-code) | [i] | OOA Folding | |