Information on Result #1551169
Linear OOA(715, 177, F7, 3, 6) (dual of [(177, 3), 516, 7]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(715, 177, F7, 6) (dual of [177, 162, 7]-code), using
- construction XX applied to C1 = C([25,29]), C2 = C([24,28]), C3 = C1 + C2 = C([25,28]), and C∩ = C1 ∩ C2 = C([24,29]) [i] based on
- linear OA(712, 171, F7, 5) (dual of [171, 159, 6]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {25,26,27,28,29}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(712, 171, F7, 5) (dual of [171, 159, 6]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {24,25,26,27,28}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(715, 171, F7, 6) (dual of [171, 156, 7]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {24,25,…,29}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(79, 171, F7, 4) (dual of [171, 162, 5]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {25,26,27,28}, and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(70, 3, F7, 0) (dual of [3, 3, 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, 3, F7, 0) (dual of [3, 3, 1]-code) (see above)
Mode: 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(715, 176, F7, 9, 6) (dual of [(176, 9), 1569, 7]-NRT-code) | [i] | OOA Stacking with Additional Row | |