Information on Result #714253
Linear OA(759, 488, F7, 18) (dual of [488, 429, 19]-code), using construction XX applied to C1 = C([479,15]), C2 = C([0,16]), C3 = C1 + C2 = C([0,15]), and C∩ = C1 ∩ C2 = C([479,16]) based on
- linear OA(755, 480, F7, 17) (dual of [480, 425, 18]-code), using the BCH-code C(I) with length 480 | 74−1, defining interval I = {−1,0,…,15}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(755, 480, F7, 17) (dual of [480, 425, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 480 | 74−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(759, 480, F7, 18) (dual of [480, 421, 19]-code), using the BCH-code C(I) with length 480 | 74−1, defining interval I = {−1,0,…,16}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(751, 480, F7, 16) (dual of [480, 429, 17]-code), using the expurgated narrow-sense BCH-code C(I) with length 480 | 74−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(70, 4, F7, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(70, 4, F7, 0) (dual of [4, 4, 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(759, 244, F7, 2, 18) (dual of [(244, 2), 429, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(759, 162, F7, 3, 18) (dual of [(162, 3), 427, 19]-NRT-code) | [i] | ||