Information on Result #672709
Linear OA(2238, 16439, F2, 33) (dual of [16439, 16201, 34]-code), using construction X applied to Ce(32) ⊂ Ce(26) based on
- linear OA(2225, 16384, F2, 33) (dual of [16384, 16159, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2183, 16384, F2, 27) (dual of [16384, 16201, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(2238, 16439, F2, 32) (dual of [16439, 16201, 33]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2239, 16440, F2, 33) (dual of [16440, 16201, 34]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2240, 16441, F2, 33) (dual of [16441, 16201, 34]-code) | [i] | ||
| 4 | Linear OA(2237, 16438, F2, 32) (dual of [16438, 16201, 33]-code) | [i] | Truncation | |
| 5 | Linear OOA(2238, 8219, F2, 2, 33) (dual of [(8219, 2), 16200, 34]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2238, 5479, F2, 3, 33) (dual of [(5479, 3), 16199, 34]-NRT-code) | [i] | ||
| 7 | Linear OOA(2238, 4109, F2, 4, 33) (dual of [(4109, 4), 16198, 34]-NRT-code) | [i] | ||
| 8 | Linear OOA(2238, 3287, F2, 5, 33) (dual of [(3287, 5), 16197, 34]-NRT-code) | [i] | ||
| 9 | Linear OOA(2238, 2739, F2, 6, 33) (dual of [(2739, 6), 16196, 34]-NRT-code) | [i] | ||
| 10 | Linear OOA(2238, 2348, F2, 7, 33) (dual of [(2348, 7), 16198, 34]-NRT-code) | [i] | ||