Information on Result #841598
Linear OOA(787, 194, F7, 2, 28) (dual of [(194, 2), 301, 29]-NRT-code), using OOA 2-folding based on linear OA(787, 388, F7, 28) (dual of [388, 301, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(787, 389, F7, 28) (dual of [389, 302, 29]-code), using
- construction XX applied to C1 = C([335,15]), C2 = C([0,21]), C3 = C1 + C2 = C([0,15]), and C∩ = C1 ∩ C2 = C([335,21]) [i] based on
- linear OA(758, 342, F7, 23) (dual of [342, 284, 24]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−7,−6,…,15}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(755, 342, F7, 22) (dual of [342, 287, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(773, 342, F7, 29) (dual of [342, 269, 30]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−7,−6,…,21}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(740, 342, F7, 16) (dual of [342, 302, 17]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(77, 25, F7, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- linear OA(77, 22, F7, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code) (see above)
- construction XX applied to C1 = C([335,15]), C2 = C([0,21]), C3 = C1 + C2 = C([0,15]), and C∩ = C1 ∩ C2 = C([335,21]) [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.