Information on Result #1151017
Linear OOA(2135, 74901, F2, 7, 15) (dual of [(74901, 7), 524172, 16]-NRT-code), using OOA 7-folding based on linear OA(2135, 524307, F2, 15) (dual of [524307, 524172, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2135, 524308, F2, 15) (dual of [524308, 524173, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(2134, 524288, F2, 15) (dual of [524288, 524154, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2115, 524288, F2, 13) (dual of [524288, 524173, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(21, 20, F2, 1) (dual of [20, 19, 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
- construction X applied to Ce(14) ⊂ Ce(12) [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(2135, 74901, F2, 7, 14) (dual of [(74901, 7), 524172, 15]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2136, 74901, F2, 7, 15) (dual of [(74901, 7), 524171, 16]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2137, 74901, F2, 7, 15) (dual of [(74901, 7), 524170, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(2138, 74901, F2, 7, 15) (dual of [(74901, 7), 524169, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(2139, 74901, F2, 7, 15) (dual of [(74901, 7), 524168, 16]-NRT-code) | [i] | ||