Information on Result #1724685
Linear OOA(720, 1045, F7, 9, 6) (dual of [(1045, 9), 9385, 7]-NRT-code), using OOA stacking with additional row based on linear OOA(720, 1046, F7, 3, 6) (dual of [(1046, 3), 3118, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(720, 1046, F7, 6) (dual of [1046, 1026, 7]-code), using
- 694 step Varšamov–Edel lengthening with (ri) = (1, 34 times 0, 1, 111 times 0, 1, 213 times 0, 1, 332 times 0) [i] based on linear OA(716, 348, F7, 6) (dual of [348, 332, 7]-code), using
- construction XX applied to C1 = C([341,3]), C2 = C([0,4]), C3 = C1 + C2 = C([0,3]), and C∩ = C1 ∩ C2 = C([341,4]) [i] based on
- linear OA(713, 342, F7, 5) (dual of [342, 329, 6]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−1,0,1,2,3}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(713, 342, F7, 5) (dual of [342, 329, 6]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(716, 342, F7, 6) (dual of [342, 326, 7]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−1,0,…,4}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(710, 342, F7, 4) (dual of [342, 332, 5]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code) (see above)
- construction XX applied to C1 = C([341,3]), C2 = C([0,4]), C3 = C1 + C2 = C([0,3]), and C∩ = C1 ∩ C2 = C([341,4]) [i] based on
- 694 step Varšamov–Edel lengthening with (ri) = (1, 34 times 0, 1, 111 times 0, 1, 213 times 0, 1, 332 times 0) [i] based on linear OA(716, 348, F7, 6) (dual of [348, 332, 7]-code), using
Mode: Linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (14, 20, 1045)-net over F7 | [i] | Net Defined by OOA | |