Information on Result #735789
Linear OA(12851, 2097538, F128, 14) (dual of [2097538, 2097487, 15]-code), using (u, u+v)-construction based on
- linear OA(12811, 383, F128, 7) (dual of [383, 372, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(12811, 382, F128, 7) (dual of [382, 371, 8]-code), using an extension Ce(6) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(12810, 382, F128, 6) (dual of [382, 372, 7]-code), using an extension Ce(5) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(1280, 1, F128, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(12840, 2097155, F128, 14) (dual of [2097155, 2097115, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(12840, 2097152, F128, 14) (dual of [2097152, 2097112, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(12837, 2097152, F128, 13) (dual of [2097152, 2097115, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s (see above)
- construction X applied to Ce(13) ⊂ 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(12851, 1048769, F128, 2, 14) (dual of [(1048769, 2), 2097487, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12851, 699179, F128, 3, 14) (dual of [(699179, 3), 2097486, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(12851, 299648, F128, 14, 14) (dual of [(299648, 14), 4195021, 15]-NRT-code) | [i] | OA Folding and Stacking | |