Information on Result #717070
Linear OA(8160, 517, F8, 61) (dual of [517, 357, 62]-code), using construction XX applied to C1 = C([510,58]), C2 = C([0,59]), C3 = C1 + C2 = C([0,58]), and C∩ = C1 ∩ C2 = C([510,59]) based on
- linear OA(8157, 511, F8, 60) (dual of [511, 354, 61]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−1,0,…,58}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(8157, 511, F8, 60) (dual of [511, 354, 61]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,59], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(8160, 511, F8, 61) (dual of [511, 351, 62]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−1,0,…,59}, and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(8154, 511, F8, 59) (dual of [511, 357, 60]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,58], and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(80, 3, F8, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(80, 3, F8, 0) (dual of [3, 3, 1]-code) (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 OOA(8160, 258, F8, 2, 61) (dual of [(258, 2), 356, 62]-NRT-code) | [i] | OOA Folding | |