Information on Result #672711
Linear OA(2210, 16439, F2, 29) (dual of [16439, 16229, 30]-code), using construction X applied to Ce(28) ⊂ Ce(22) based on
- linear OA(2197, 16384, F2, 29) (dual of [16384, 16187, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2155, 16384, F2, 23) (dual of [16384, 16229, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(213, 55, F2, 5) (dual of [55, 42, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(213, 63, F2, 5) (dual of [63, 50, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(213, 63, F2, 5) (dual of [63, 50, 6]-code), 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(2209, 16438, F2, 28) (dual of [16438, 16229, 29]-code) | [i] | Truncation | |
| 2 | Linear OOA(2210, 8219, F2, 2, 29) (dual of [(8219, 2), 16228, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2210, 5479, F2, 3, 29) (dual of [(5479, 3), 16227, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(2210, 4109, F2, 4, 29) (dual of [(4109, 4), 16226, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(2210, 3287, F2, 5, 29) (dual of [(3287, 5), 16225, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(2210, 2739, F2, 6, 29) (dual of [(2739, 6), 16224, 30]-NRT-code) | [i] | ||
| 7 | Linear OOA(2210, 2348, F2, 7, 29) (dual of [(2348, 7), 16226, 30]-NRT-code) | [i] | ||
| 8 | Linear OOA(2210, 1174, F2, 29, 29) (dual of [(1174, 29), 33836, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |