Information on Result #824788
Linear OOA(495, 143, F4, 2, 30) (dual of [(143, 2), 191, 31]-NRT-code), using OOA 2-folding based on linear OA(495, 286, F4, 30) (dual of [286, 191, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(495, 287, F4, 30) (dual of [287, 192, 31]-code), using
- construction XX applied to C1 = C([251,21]), C2 = C([0,25]), C3 = C1 + C2 = C([0,21]), and C∩ = C1 ∩ C2 = C([251,25]) [i] based on
- linear OA(475, 255, F4, 26) (dual of [255, 180, 27]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,21}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(475, 255, F4, 26) (dual of [255, 180, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(487, 255, F4, 30) (dual of [255, 168, 31]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,25}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(463, 255, F4, 22) (dual of [255, 192, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), using
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)) (see above)
- construction XX applied to C1 = C([251,21]), C2 = C([0,25]), C3 = C1 + C2 = C([0,21]), and C∩ = C1 ∩ C2 = C([251,25]) [i] based on
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
None.