Information on Result #1465007
Linear OOA(12874, 12707, F128, 2, 32) (dual of [(12707, 2), 25340, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(12874, 12707, F128, 32) (dual of [12707, 12633, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(12874, 16419, F128, 32) (dual of [16419, 16345, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(19) [i] based on
- linear OA(12863, 16384, F128, 32) (dual of [16384, 16321, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(12811, 35, F128, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,128)), using
- discarding factors / shortening the dual code based on linear OA(12811, 128, F128, 11) (dual of [128, 117, 12]-code or 128-arc in PG(10,128)), using
- Reed–Solomon code RS(117,128) [i]
- discarding factors / shortening the dual code based on linear OA(12811, 128, F128, 11) (dual of [128, 117, 12]-code or 128-arc in PG(10,128)), using
- construction X applied to Ce(31) ⊂ Ce(19) [i] based on
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(12874, 6353, F128, 3, 32) (dual of [(6353, 3), 18985, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12874, 6353, F128, 4, 32) (dual of [(6353, 4), 25338, 33]-NRT-code) | [i] | ||