Information on Result #722351
Linear OA(16129, 284, F16, 71) (dual of [284, 155, 72]-code), using construction XX applied to C1 = C([0,68]), C2 = C([11,70]), C3 = C1 + C2 = C([11,68]), and C∩ = C1 ∩ C2 = C([0,70]) based on
- linear OA(16113, 255, F16, 69) (dual of [255, 142, 70]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,68], and designed minimum distance d ≥ |I|+1 = 70 [i]
- linear OA(16104, 255, F16, 60) (dual of [255, 151, 61]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {11,12,…,70}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(16117, 255, F16, 71) (dual of [255, 138, 72]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,70], and designed minimum distance d ≥ |I|+1 = 72 [i]
- linear OA(16100, 255, F16, 58) (dual of [255, 155, 59]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {11,12,…,68}, and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(1611, 24, F16, 10) (dual of [24, 13, 11]-code), using
- extended algebraic-geometric code AGe(F,13P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- linear OA(161, 5, F16, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, 16, F16, 1) (dual of [16, 15, 2]-code), using
- Reed–Solomon code RS(15,16) [i]
- discarding factors / shortening the dual code based on linear OA(161, 16, F16, 1) (dual of [16, 15, 2]-code), using
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(16129, 142, F16, 2, 71) (dual of [(142, 2), 155, 72]-NRT-code) | [i] | OOA Folding | |