Information on Result #611728
Linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3121, large, F3, 12) (dual of [large, large−121, 13]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3121, large, F3, 11) (dual of [large, large−121, 12]-code) | [i] | ||
| 3 | Linear OA(3121, large, F3, 10) (dual of [large, large−121, 11]-code) | [i] | ||
| 4 | Linear OA(3121, large, F3, 9) (dual of [large, large−121, 10]-code) | [i] | ||
| 5 | Linear OA(3121, large, F3, 8) (dual of [large, large−121, 9]-code) | [i] | ||
| 6 | Linear OA(3121, large, F3, 7) (dual of [large, large−121, 8]-code) | [i] | ||
| 7 | Linear OA(3121, large, F3, 6) (dual of [large, large−121, 7]-code) | [i] | ||
| 8 | Linear OA(3121, large, F3, 5) (dual of [large, large−121, 6]-code) | [i] | ||
| 9 | Linear OA(3121, large, F3, 4) (dual of [large, large−121, 5]-code) | [i] | ||
| 10 | Linear OA(3121, large, F3, 3) (dual of [large, large−121, 4]-code) | [i] | ||
| 11 | Linear OA(3122, large, F3, 13) (dual of [large, large−122, 14]-code) | [i] | Code Embedding in Larger Space | |
| 12 | Linear OA(3123, large, F3, 13) (dual of [large, large−123, 14]-code) | [i] | ||
| 13 | Linear OA(3124, large, F3, 13) (dual of [large, large−124, 14]-code) | [i] | ||
| 14 | Linear OA(3125, large, F3, 13) (dual of [large, large−125, 14]-code) | [i] | ||
| 15 | Linear OA(3126, large, F3, 13) (dual of [large, large−126, 14]-code) | [i] | ||
| 16 | Linear OA(3127, large, F3, 13) (dual of [large, large−127, 14]-code) | [i] | ||
| 17 | Linear OA(3128, large, F3, 13) (dual of [large, large−128, 14]-code) | [i] | ||
| 18 | Linear OA(3129, large, F3, 13) (dual of [large, large−129, 14]-code) | [i] | ||
| 19 | Linear OA(3130, large, F3, 13) (dual of [large, large−130, 14]-code) | [i] | ||
| 20 | Linear OA(3131, large, F3, 13) (dual of [large, large−131, 14]-code) | [i] | ||
| 21 | Linear OA(3132, large, F3, 13) (dual of [large, large−132, 14]-code) | [i] | ||
| 22 | Linear OA(3133, large, F3, 13) (dual of [large, large−133, 14]-code) | [i] | ||
| 23 | Linear OA(3134, large, F3, 13) (dual of [large, large−134, 14]-code) | [i] | ||
| 24 | Linear OA(3135, large, F3, 13) (dual of [large, large−135, 14]-code) | [i] | ||
| 25 | Linear OA(3137, large, F3, 13) (dual of [large, large−137, 14]-code) | [i] | ||
| 26 | Linear OA(3138, large, F3, 13) (dual of [large, large−138, 14]-code) | [i] | ||
| 27 | Linear OA(3139, large, F3, 13) (dual of [large, large−139, 14]-code) | [i] | ||
| 28 | Linear OA(3140, large, F3, 13) (dual of [large, large−140, 14]-code) | [i] | ||
| 29 | Linear OA(3141, large, F3, 13) (dual of [large, large−141, 14]-code) | [i] | ||
| 30 | Linear OA(3142, large, F3, 13) (dual of [large, large−142, 14]-code) | [i] | ||
| 31 | Linear OA(3143, large, F3, 13) (dual of [large, large−143, 14]-code) | [i] | ||
| 32 | Linear OA(3144, large, F3, 13) (dual of [large, large−144, 14]-code) | [i] | ||
| 33 | Linear OA(3145, large, F3, 13) (dual of [large, large−145, 14]-code) | [i] | ||
| 34 | Linear OA(3146, large, F3, 13) (dual of [large, large−146, 14]-code) | [i] | ||
| 35 | Linear OA(3147, large, F3, 13) (dual of [large, large−147, 14]-code) | [i] | ||
| 36 | Linear OA(3148, large, F3, 13) (dual of [large, large−148, 14]-code) | [i] | ||
| 37 | Linear OA(3149, large, F3, 13) (dual of [large, large−149, 14]-code) | [i] | ||
| 38 | Linear OA(3152, large, F3, 13) (dual of [large, large−152, 14]-code) | [i] | ||
| 39 | Linear OA(3153, large, F3, 13) (dual of [large, large−153, 14]-code) | [i] | ||
| 40 | Linear OA(3154, large, F3, 13) (dual of [large, large−154, 14]-code) | [i] | ||
| 41 | Linear OA(3155, large, F3, 13) (dual of [large, large−155, 14]-code) | [i] | ||
| 42 | Linear OA(3156, large, F3, 13) (dual of [large, large−156, 14]-code) | [i] | ||
| 43 | Linear OA(3157, large, F3, 13) (dual of [large, large−157, 14]-code) | [i] | ||
| 44 | Linear OA(3158, large, F3, 13) (dual of [large, large−158, 14]-code) | [i] | ||
| 45 | Linear OA(3159, large, F3, 13) (dual of [large, large−159, 14]-code) | [i] | ||
| 46 | Linear OA(3160, large, F3, 13) (dual of [large, large−160, 14]-code) | [i] | ||
| 47 | Linear OA(3161, large, F3, 13) (dual of [large, large−161, 14]-code) | [i] | ||
| 48 | Linear OA(3162, large, F3, 13) (dual of [large, large−162, 14]-code) | [i] | ||
| 49 | Linear OA(3163, large, F3, 13) (dual of [large, large−163, 14]-code) | [i] | ||
| 50 | Linear OA(3164, large, F3, 13) (dual of [large, large−164, 14]-code) | [i] | ||
| 51 | Linear OA(3165, large, F3, 13) (dual of [large, large−165, 14]-code) | [i] | ||
| 52 | Linear OA(3167, large, F3, 13) (dual of [large, large−167, 14]-code) | [i] | ||
| 53 | Linear OA(3168, large, F3, 13) (dual of [large, large−168, 14]-code) | [i] | ||
| 54 | Linear OA(3169, large, F3, 13) (dual of [large, large−169, 14]-code) | [i] | ||
| 55 | Linear OA(3170, large, F3, 13) (dual of [large, large−170, 14]-code) | [i] | ||
| 56 | Linear OA(3171, large, F3, 13) (dual of [large, large−171, 14]-code) | [i] | ||
| 57 | Linear OA(3172, large, F3, 13) (dual of [large, large−172, 14]-code) | [i] | ||
| 58 | Linear OA(3173, large, F3, 13) (dual of [large, large−173, 14]-code) | [i] | ||
| 59 | Linear OA(3174, large, F3, 13) (dual of [large, large−174, 14]-code) | [i] | ||
| 60 | Linear OA(3175, large, F3, 13) (dual of [large, large−175, 14]-code) | [i] | ||
| 61 | Linear OA(3176, large, F3, 13) (dual of [large, large−176, 14]-code) | [i] | ||
| 62 | Linear OA(3177, large, F3, 13) (dual of [large, large−177, 14]-code) | [i] | ||
| 63 | Linear OA(3178, large, F3, 13) (dual of [large, large−178, 14]-code) | [i] | ||
| 64 | Linear OA(3179, large, F3, 13) (dual of [large, large−179, 14]-code) | [i] | ||
| 65 | Linear OA(3182, large, F3, 13) (dual of [large, large−182, 14]-code) | [i] | ||
| 66 | Linear OA(3183, large, F3, 13) (dual of [large, large−183, 14]-code) | [i] | ||
| 67 | Linear OA(3184, large, F3, 13) (dual of [large, large−184, 14]-code) | [i] | ||
| 68 | Linear OA(3185, large, F3, 13) (dual of [large, large−185, 14]-code) | [i] | ||
| 69 | Linear OA(3186, large, F3, 13) (dual of [large, large−186, 14]-code) | [i] | ||
| 70 | Linear OA(3187, large, F3, 13) (dual of [large, large−187, 14]-code) | [i] | ||
| 71 | Linear OA(3188, large, F3, 13) (dual of [large, large−188, 14]-code) | [i] | ||
| 72 | Linear OA(3189, large, F3, 13) (dual of [large, large−189, 14]-code) | [i] | ||
| 73 | Linear OA(3190, large, F3, 13) (dual of [large, large−190, 14]-code) | [i] | ||
| 74 | Linear OA(3191, large, F3, 13) (dual of [large, large−191, 14]-code) | [i] | ||
| 75 | Linear OA(3192, large, F3, 13) (dual of [large, large−192, 14]-code) | [i] | ||
| 76 | Linear OA(3193, large, F3, 13) (dual of [large, large−193, 14]-code) | [i] | ||
| 77 | Linear OA(3194, large, F3, 13) (dual of [large, large−194, 14]-code) | [i] | ||
| 78 | Linear OA(3195, large, F3, 13) (dual of [large, large−195, 14]-code) | [i] | ||
| 79 | Linear OA(3197, large, F3, 13) (dual of [large, large−197, 14]-code) | [i] | ||
| 80 | Linear OA(3198, large, F3, 13) (dual of [large, large−198, 14]-code) | [i] | ||
| 81 | Linear OA(3199, large, F3, 13) (dual of [large, large−199, 14]-code) | [i] | ||
| 82 | Linear OA(3200, large, F3, 13) (dual of [large, large−200, 14]-code) | [i] | ||
| 83 | Linear OA(3201, large, F3, 13) (dual of [large, large−201, 14]-code) | [i] | ||
| 84 | Linear OA(3202, large, F3, 13) (dual of [large, large−202, 14]-code) | [i] | ||
| 85 | Linear OA(3203, large, F3, 13) (dual of [large, large−203, 14]-code) | [i] | ||
| 86 | Linear OA(3204, large, F3, 13) (dual of [large, large−204, 14]-code) | [i] | ||
| 87 | Linear OA(3205, large, F3, 13) (dual of [large, large−205, 14]-code) | [i] | ||
| 88 | Linear OA(3206, large, F3, 13) (dual of [large, large−206, 14]-code) | [i] | ||
| 89 | Linear OA(3207, large, F3, 13) (dual of [large, large−207, 14]-code) | [i] | ||
| 90 | Linear OA(3208, large, F3, 13) (dual of [large, large−208, 14]-code) | [i] | ||
| 91 | Linear OA(3209, large, F3, 13) (dual of [large, large−209, 14]-code) | [i] | ||
| 92 | Linear OA(3212, large, F3, 13) (dual of [large, large−212, 14]-code) | [i] | ||
| 93 | Linear OA(3213, large, F3, 13) (dual of [large, large−213, 14]-code) | [i] | ||
| 94 | Linear OA(3214, large, F3, 13) (dual of [large, large−214, 14]-code) | [i] | ||
| 95 | Linear OA(3215, large, F3, 13) (dual of [large, large−215, 14]-code) | [i] | ||
| 96 | Linear OA(3216, large, F3, 13) (dual of [large, large−216, 14]-code) | [i] | ||
| 97 | Linear OA(3217, large, F3, 13) (dual of [large, large−217, 14]-code) | [i] | ||
| 98 | Linear OA(3218, large, F3, 13) (dual of [large, large−218, 14]-code) | [i] | ||
| 99 | Linear OA(3219, large, F3, 13) (dual of [large, large−219, 14]-code) | [i] | ||
| 100 | Linear OA(3220, large, F3, 13) (dual of [large, large−220, 14]-code) | [i] | ||
| 101 | Linear OA(3221, large, F3, 13) (dual of [large, large−221, 14]-code) | [i] | ||
| 102 | Linear OA(3222, large, F3, 13) (dual of [large, large−222, 14]-code) | [i] | ||
| 103 | Linear OA(3223, large, F3, 13) (dual of [large, large−223, 14]-code) | [i] | ||
| 104 | Linear OA(3224, large, F3, 13) (dual of [large, large−224, 14]-code) | [i] | ||
| 105 | Linear OA(3225, large, F3, 13) (dual of [large, large−225, 14]-code) | [i] | ||
| 106 | Linear OA(3227, large, F3, 13) (dual of [large, large−227, 14]-code) | [i] | ||
| 107 | Linear OA(3228, large, F3, 13) (dual of [large, large−228, 14]-code) | [i] | ||
| 108 | Linear OA(3229, large, F3, 13) (dual of [large, large−229, 14]-code) | [i] | ||
| 109 | Linear OA(3230, large, F3, 13) (dual of [large, large−230, 14]-code) | [i] | ||
| 110 | Linear OA(3231, large, F3, 13) (dual of [large, large−231, 14]-code) | [i] | ||
| 111 | Linear OA(3232, large, F3, 13) (dual of [large, large−232, 14]-code) | [i] | ||
| 112 | Linear OA(3233, large, F3, 13) (dual of [large, large−233, 14]-code) | [i] | ||
| 113 | Linear OA(3234, large, F3, 13) (dual of [large, large−234, 14]-code) | [i] | ||
| 114 | Linear OA(3235, large, F3, 13) (dual of [large, large−235, 14]-code) | [i] | ||
| 115 | Linear OA(3236, large, F3, 13) (dual of [large, large−236, 14]-code) | [i] | ||
| 116 | Linear OA(3237, large, F3, 13) (dual of [large, large−237, 14]-code) | [i] | ||
| 117 | Linear OA(3238, large, F3, 13) (dual of [large, large−238, 14]-code) | [i] | ||
| 118 | Linear OA(3239, large, F3, 13) (dual of [large, large−239, 14]-code) | [i] | ||
| 119 | Linear OA(3242, large, F3, 13) (dual of [large, large−242, 14]-code) | [i] | ||
| 120 | Linear OA(3243, large, F3, 13) (dual of [large, large−243, 14]-code) | [i] | ||
| 121 | Linear OA(3244, large, F3, 13) (dual of [large, large−244, 14]-code) | [i] | ||
| 122 | Linear OA(3245, large, F3, 13) (dual of [large, large−245, 14]-code) | [i] | ||
| 123 | Linear OA(3246, large, F3, 13) (dual of [large, large−246, 14]-code) | [i] | ||
| 124 | Linear OA(3247, large, F3, 13) (dual of [large, large−247, 14]-code) | [i] | ||
| 125 | Linear OA(3248, large, F3, 13) (dual of [large, large−248, 14]-code) | [i] | ||
| 126 | Linear OA(3249, large, F3, 13) (dual of [large, large−249, 14]-code) | [i] | ||
| 127 | Linear OA(3250, large, F3, 13) (dual of [large, large−250, 14]-code) | [i] | ||
| 128 | Linear OOA(3121, 4194301, F3, 2, 13) (dual of [(4194301, 2), 8388481, 14]-NRT-code) | [i] | OOA Folding | |
| 129 | Linear OOA(3121, 2796201, F3, 3, 13) (dual of [(2796201, 3), 8388482, 14]-NRT-code) | [i] | ||
| 130 | Linear OOA(3121, 2097150, F3, 4, 13) (dual of [(2097150, 4), 8388479, 14]-NRT-code) | [i] | ||
| 131 | Linear OOA(3121, 1677720, F3, 5, 13) (dual of [(1677720, 5), 8388479, 14]-NRT-code) | [i] | ||
| 132 | Linear OOA(3121, 1398100, F3, 13, 13) (dual of [(1398100, 13), 18175179, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |