Information on Result #714248
Linear OA(755, 488, F7, 17) (dual of [488, 433, 18]-code), using construction XX applied to C1 = C([479,14]), C2 = C([0,15]), C3 = C1 + C2 = C([0,14]), and C∩ = C1 ∩ C2 = C([479,15]) based on
- linear OA(751, 480, F7, 16) (dual of [480, 429, 17]-code), using the BCH-code C(I) with length 480 | 74−1, defining interval I = {−1,0,…,14}, and designed minimum distance d ≥ |I|+1 = 17 [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(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(747, 480, F7, 15) (dual of [480, 433, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 480 | 74−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [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(755, 244, F7, 2, 17) (dual of [(244, 2), 433, 18]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(755, 162, F7, 3, 17) (dual of [(162, 3), 431, 18]-NRT-code) | [i] | ||