Information on Result #1566561
Linear OOA(12840, 8200, F128, 3, 18) (dual of [(8200, 3), 24560, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(12840, 8200, F128, 2, 18) (dual of [(8200, 2), 16360, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12840, 16400, F128, 18) (dual of [16400, 16360, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(12840, 16401, F128, 18) (dual of [16401, 16361, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(11) [i] based on
- linear OA(12835, 16384, F128, 18) (dual of [16384, 16349, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(12823, 16384, F128, 12) (dual of [16384, 16361, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(1285, 17, F128, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,128)), using
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
- Reed–Solomon code RS(123,128) [i]
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
- construction X applied to Ce(17) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(12840, 16401, F128, 18) (dual of [16401, 16361, 19]-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(12840, 2733, F128, 21, 18) (dual of [(2733, 21), 57353, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |