Information on Result #1164194
Linear OOA(243, 261, F2, 8, 9) (dual of [(261, 8), 2045, 10]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OA(243, 1045, F2, 9) (dual of [1045, 1002, 10]-code), using
- construction XX applied to C1 = C([1021,4]), C2 = C([0,6]), C3 = C1 + C2 = C([0,4]), and C∩ = C1 ∩ C2 = C([1021,6]) [i] based on
- linear OA(231, 1023, F2, 7) (dual of [1023, 992, 8]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−2,−1,…,4}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(231, 1023, F2, 7) (dual of [1023, 992, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(241, 1023, F2, 9) (dual of [1023, 982, 10]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−2,−1,…,6}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(221, 1023, F2, 5) (dual of [1023, 1002, 6]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(21, 11, F2, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(21, 11, F2, 1) (dual of [11, 10, 2]-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(243, 261, F2, 8, 8) (dual of [(261, 8), 2045, 9]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(244, 261, F2, 8, 9) (dual of [(261, 8), 2044, 10]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2250, 1048836, F2, 8, 18) (dual of [(1048836, 8), 8390438, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(2251, 1048836, F2, 8, 19) (dual of [(1048836, 8), 8390437, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(243, 261, F2, 9, 9) (dual of [(261, 9), 2306, 10]-NRT-code) | [i] | Appending kth Column | |