Information on Result #1451653
Linear OOA(9126, 59076, F9, 2, 27) (dual of [(59076, 2), 118026, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(9126, 59076, F9, 27) (dual of [59076, 58950, 28]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(9125, 59074, F9, 27) (dual of [59074, 58949, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,11]) [i] based on
- linear OA(9121, 59050, F9, 27) (dual of [59050, 58929, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(9101, 59050, F9, 23) (dual of [59050, 58949, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(94, 24, F9, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,9)), using
- construction X applied to C([0,13]) ⊂ C([0,11]) [i] based on
- linear OA(9125, 59075, F9, 26) (dual of [59075, 58950, 27]-code), using Gilbert–Varšamov bound and bm = 9125 > Vbs−1(k−1) = 467 014785 933024 956013 050304 056713 981870 865971 129273 360904 924319 321551 973027 212429 544791 537570 944709 759758 676806 811217 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 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(9125, 59074, F9, 27) (dual of [59074, 58949, 28]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(9126, 29538, F9, 3, 27) (dual of [(29538, 3), 88488, 28]-NRT-code) | [i] | OOA Folding | |