Information on Result #693006
Linear OA(1698, 274, F16, 53) (dual of [274, 176, 54]-code), using construction XX applied to Ce(52) ⊂ Ce(44) ⊂ Ce(43) based on
- linear OA(1690, 256, F16, 53) (dual of [256, 166, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(1681, 256, F16, 45) (dual of [256, 175, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(1679, 256, F16, 44) (dual of [256, 177, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(167, 17, F16, 7) (dual of [17, 10, 8]-code or 17-arc in PG(6,16)), using
- extended Reed–Solomon code RSe(10,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(160, 1, F16, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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(1698, 137, F16, 2, 53) (dual of [(137, 2), 176, 54]-NRT-code) | [i] | OOA Folding | |