Information on Result #702383
Linear OA(2173, 541, F2, 39) (dual of [541, 368, 40]-code), using construction XX applied to C1 = C([507,30]), C2 = C([0,34]), C3 = C1 + C2 = C([0,30]), and C∩ = C1 ∩ C2 = C([507,34]) based on
- linear OA(2154, 511, F2, 35) (dual of [511, 357, 36]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−4,−3,…,30}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(2145, 511, F2, 35) (dual of [511, 366, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(2163, 511, F2, 39) (dual of [511, 348, 40]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−4,−3,…,34}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2136, 511, F2, 31) (dual of [511, 375, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), using
- linear OA(25, 14, F2, 3) (dual of [14, 9, 4]-code or 14-cap in PG(4,2)), using
- discarding factors / shortening the dual code based on linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)) (see above)
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(2172, 540, F2, 38) (dual of [540, 368, 39]-code) | [i] | Truncation | |