Information on Result #1629660
Linear OOA(246, 254, F2, 5, 10) (dual of [(254, 5), 1224, 11]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(246, 254, F2, 2, 10) (dual of [(254, 2), 462, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(246, 260, F2, 2, 10) (dual of [(260, 2), 474, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(246, 520, F2, 10) (dual of [520, 474, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(246, 521, F2, 10) (dual of [521, 475, 11]-code), using
- 1 times truncation [i] based on linear OA(247, 522, F2, 11) (dual of [522, 475, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- linear OA(246, 512, F2, 11) (dual of [512, 466, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(237, 512, F2, 9) (dual of [512, 475, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(21, 10, F2, 1) (dual of [10, 9, 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(10) ⊂ Ce(8) [i] based on
- 1 times truncation [i] based on linear OA(247, 522, F2, 11) (dual of [522, 475, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(246, 521, F2, 10) (dual of [521, 475, 11]-code), using
- OOA 2-folding [i] based on linear OA(246, 520, F2, 10) (dual of [520, 474, 11]-code), using
Mode: 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(246, 253, F2, 6, 10) (dual of [(253, 6), 1472, 11]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(246, 253, F2, 7, 10) (dual of [(253, 7), 1725, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(246, 253, F2, 8, 10) (dual of [(253, 8), 1978, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(246, 253, F2, 15, 10) (dual of [(253, 15), 3749, 11]-NRT-code) | [i] | ||