Information on Result #2282247
Linear OA(8157, 550, F8, 55) (dual of [550, 393, 56]-code), using 1 times code embedding in larger space based on linear OA(8156, 549, F8, 55) (dual of [549, 393, 56]-code), using
- construction XX applied to C1 = C([505,44]), C2 = C([0,48]), C3 = C1 + C2 = C([0,44]), and C∩ = C1 ∩ C2 = C([505,48]) [i] based on
- linear OA(8136, 511, F8, 51) (dual of [511, 375, 52]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,44}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(8127, 511, F8, 49) (dual of [511, 384, 50]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,48], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(8145, 511, F8, 55) (dual of [511, 366, 56]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−6,−5,…,48}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(8118, 511, F8, 45) (dual of [511, 393, 46]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(87, 25, F8, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- linear OA(84, 13, F8, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,8)), 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(8157, 275, F8, 2, 55) (dual of [(275, 2), 393, 56]-NRT-code) | [i] | OOA Folding | |