Information on Result #672760
Linear OA(293, 8206, F2, 15) (dual of [8206, 8113, 16]-code), using construction X applied to Ce(14) ⊂ Ce(12) based on
- linear OA(292, 8192, F2, 15) (dual of [8192, 8100, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(279, 8192, F2, 13) (dual of [8192, 8113, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(21, 14, F2, 1) (dual of [14, 13, 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
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 OA(292, 8205, F2, 14) (dual of [8205, 8113, 15]-code) | [i] | Truncation | |
| 2 | Linear OOA(293, 4103, F2, 2, 15) (dual of [(4103, 2), 8113, 16]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(293, 2735, F2, 3, 15) (dual of [(2735, 3), 8112, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(293, 2051, F2, 4, 15) (dual of [(2051, 4), 8111, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(293, 1641, F2, 5, 15) (dual of [(1641, 5), 8112, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(293, 1367, F2, 6, 15) (dual of [(1367, 6), 8109, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(293, 1172, F2, 7, 15) (dual of [(1172, 7), 8111, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(293, 1172, F2, 8, 15) (dual of [(1172, 8), 9283, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 9 | Linear OOA(293, 1172, F2, 15, 15) (dual of [(1172, 15), 17487, 16]-NRT-code) | [i] | ||