Information on Result #1300622
Linear OA(4188, 65580, F4, 30) (dual of [65580, 65392, 31]-code), using construction X with Varšamov bound based on
- linear OA(4184, 65575, F4, 30) (dual of [65575, 65391, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4145, 65536, F4, 25) (dual of [65536, 65391, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(47, 39, F4, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(29) ⊂ Ce(24) [i] based on
- linear OA(4184, 65576, F4, 26) (dual of [65576, 65392, 27]-code), using Gilbert–Varšamov bound and bm = 4184 > Vbs−1(k−1) = 142531 638347 110980 589502 707246 498357 508737 683665 272279 310235 802883 740593 397189 007277 708500 618821 778238 273880 [i]
- linear OA(43, 4, F4, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,4) or 4-cap in PG(2,4)), using
- dual of repetition code with length 4 [i]
- Reed–Solomon code RS(1,4) [i]
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(4188, 32790, F4, 2, 30) (dual of [(32790, 2), 65392, 31]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4188, 21860, F4, 3, 30) (dual of [(21860, 3), 65392, 31]-NRT-code) | [i] | ||