Information on Result #1493457
Linear OOA(984, 431, F9, 3, 30) (dual of [(431, 3), 1209, 31]-NRT-code), using OOA 2-folding based on linear OOA(984, 862, F9, 2, 30) (dual of [(862, 2), 1640, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(984, 863, F9, 2, 30) (dual of [(863, 2), 1642, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(984, 863, F9, 30) (dual of [863, 779, 31]-code), using
- 124 step Varšamov–Edel lengthening with (ri) = (2, 5 times 0, 1, 20 times 0, 1, 40 times 0, 1, 55 times 0) [i] based on linear OA(979, 734, F9, 30) (dual of [734, 655, 31]-code), using
- construction XX applied to C1 = C([727,27]), C2 = C([0,28]), C3 = C1 + C2 = C([0,27]), and C∩ = C1 ∩ C2 = C([727,28]) [i] based on
- linear OA(976, 728, F9, 29) (dual of [728, 652, 30]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,27}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(976, 728, F9, 29) (dual of [728, 652, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(979, 728, F9, 30) (dual of [728, 649, 31]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,28}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(973, 728, F9, 28) (dual of [728, 655, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code) (see above)
- construction XX applied to C1 = C([727,27]), C2 = C([0,28]), C3 = C1 + C2 = C([0,27]), and C∩ = C1 ∩ C2 = C([727,28]) [i] based on
- 124 step Varšamov–Edel lengthening with (ri) = (2, 5 times 0, 1, 20 times 0, 1, 40 times 0, 1, 55 times 0) [i] based on linear OA(979, 734, F9, 30) (dual of [734, 655, 31]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(984, 863, F9, 30) (dual of [863, 779, 31]-code), using
Mode: 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.