Information on Result #976053
Linear OOA(736, 269, F7, 3, 11) (dual of [(269, 3), 771, 12]-NRT-code), using OOA 3-folding based on linear OA(736, 807, F7, 11) (dual of [807, 771, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(736, 808, F7, 11) (dual of [808, 772, 12]-code), using
- construction XX applied to C1 = C([130,139]), C2 = C([129,138]), C3 = C1 + C2 = C([130,138]), and C∩ = C1 ∩ C2 = C([129,139]) [i] based on
- linear OA(732, 800, F7, 10) (dual of [800, 768, 11]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {130,131,…,139}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(732, 800, F7, 10) (dual of [800, 768, 11]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {129,130,…,138}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(736, 800, F7, 11) (dual of [800, 764, 12]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {129,130,…,139}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(728, 800, F7, 9) (dual of [800, 772, 10]-code), using the BCH-code C(I) with length 800 | 74−1, defining interval I = {130,131,…,138}, and designed minimum distance d ≥ |I|+1 = 10 [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([130,139]), C2 = C([129,138]), C3 = C1 + C2 = C([130,138]), and C∩ = C1 ∩ C2 = C([129,139]) [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
None.