Information on Result #1588956
Linear OOA(258, 5329, F2, 4, 9) (dual of [(5329, 4), 21258, 10]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(258, 5329, F2, 3, 9) (dual of [(5329, 3), 15929, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(258, 5466, F2, 3, 9) (dual of [(5466, 3), 16340, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(258, 16398, F2, 9) (dual of [16398, 16340, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(258, 16399, F2, 9) (dual of [16399, 16341, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(257, 16384, F2, 9) (dual of [16384, 16327, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(243, 16384, F2, 7) (dual of [16384, 16341, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(21, 15, F2, 1) (dual of [15, 14, 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(8) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(258, 16399, F2, 9) (dual of [16399, 16341, 10]-code), using
- OOA 3-folding [i] based on linear OA(258, 16398, F2, 9) (dual of [16398, 16340, 10]-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(258, 5328, F2, 5, 9) (dual of [(5328, 5), 26582, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(258, 5328, F2, 6, 9) (dual of [(5328, 6), 31910, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(258, 5328, F2, 7, 9) (dual of [(5328, 7), 37238, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(258, 5328, F2, 8, 9) (dual of [(5328, 8), 42566, 10]-NRT-code) | [i] | ||