Information on Result #975790
Linear OOA(720, 269, F7, 3, 6) (dual of [(269, 3), 787, 7]-NRT-code), using OOA 3-folding based on linear OA(720, 807, F7, 6) (dual of [807, 787, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(720, 808, F7, 6) (dual of [808, 788, 7]-code), using
- construction XX applied to C1 = C([130,134]), C2 = C([129,133]), C3 = C1 + C2 = C([130,133]), and C∩ = C1 ∩ C2 = C([129,134]) [i] based on
- linear OA(716, 800, F7, 5) (dual of [800, 784, 6]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {130,131,132,133,134}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(716, 800, F7, 5) (dual of [800, 784, 6]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {129,130,131,132,133}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(720, 800, F7, 6) (dual of [800, 780, 7]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {129,130,…,134}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(712, 800, F7, 4) (dual of [800, 788, 5]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {130,131,132,133}, and designed minimum distance d ≥ |I|+1 = 5 [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)
- construction XX applied to C1 = C([130,134]), C2 = C([129,133]), C3 = C1 + C2 = C([130,133]), and C∩ = C1 ∩ C2 = C([129,134]) [i] based on
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(7110, 3843471, F7, 3, 12) (dual of [(3843471, 3), 11530303, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |