Information on Result #681682
Linear OA(4260, 266, F4, 193) (dual of [266, 6, 194]-code), using construction XX applied to Ce(254) ⊂ Ce(190) ⊂ Ce(186) based on
- linear OA(4255, 256, F4, 255) (dual of [256, 1, 256]-code or 256-arc in PG(254,4)), using an extension Ce(254) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,254], and designed minimum distance d ≥ |I|+1 = 255 [i]
- linear OA(4251, 256, F4, 191) (dual of [256, 5, 192]-code), using an extension Ce(190) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,190], and designed minimum distance d ≥ |I|+1 = 191 [i]
- linear OA(4249, 256, F4, 187) (dual of [256, 7, 188]-code), using an extension Ce(186) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,186], and designed minimum distance d ≥ |I|+1 = 187 [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- 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: 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 OOA(4260, 133, F4, 2, 193) (dual of [(133, 2), 6, 194]-NRT-code) | [i] | OOA Folding | |